Given that a line passes through the points (1, 3) and (4, 6), a. Calculate the gradient of the line b. Find the equation of the line

Q: A line that passes through the origin in the xy-plane has a slope of . Which of the following is a…

A: Topic:- equation of line

Q: Given the points A(0; 4) and B(2; -1), calculate the gradient of the line AB.

A: Given the points A(0, 4) and B(2, -1). To calculate the gradient of the line AB.

Q: The gradient of the line 4y 4 6x is?

A: The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . Gradient of line =…

Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a…

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Q: If R has coordinates (-5, 2) and S has coordinates (2, y), find y so that the slope of RS is . -6 7

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Q: Find the gradient of perpendicular line to each of the following lines below: a. Gradient of the…

A: Coordinate Geometry Question

Q: "Let h(x, y) = x² + 3.xy- 6y. What is the amount of the greatest increase of h at the point (3,2)?…

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Q: Find the value of h,if the slopes of the line represented by 6x2+2hxy+y2=0 are in the ratio 1:2

A: First, we will writethe equation for pair of straight lines passing through origin.(y−m1 x)×(y−m2…

Q: If f(z) 20x + 13, find the slope of the secant line between the values of a1 = 1 and x2 = 5. %3D

A: NOTE: Refresh your page if you can't see any equations. . the given function is here the function…

Q: Determine whether there exists a constant c such that the line x+cy=4x Has slope 4:  Passes…

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Q: Determine whether there exists a constant c such that the line x + cy = 1: (a) has slope 4.     (b)…

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Q: 3y What is the equation of the curve that passes through the point (1, 3) and has a slope of ○ y =…

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Q: A consumer has a monthly income of $100 that he wants to spend on two goods: rugs priced at $10 and…

A: Graphically, a linear function representing the relationship between an independent variable let's…

Q: Find the equation of the line whose gradient is 3/2 and which passes through the point ,where P…

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Q: If the point of intersection of the lines y = 3x + a and y + 2x = b is D(2,5). i) Find the values of…

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Q: The slope of a curve at (1, 9) is 6. Determine the equation of the curve when y" = 2. O z + 6z +5…

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Q: The U.S. Department of Health and Human Services provides a summary of the number and rate of…

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Q: A straight line has the equation 4x-3y+12=0? what is the gradient of the line? b)find the…

A: Given: 4x-3y+12=0 we know that gradientm of the line is given by m=-coefficient of xcoefficient of y…

Q: 2. Work out the gradient of the line passing through the points (3, 2) and (7, 20).

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Q: 8 and 2 20x+ 25, find the slope of the secant line between the values of a1 %3| If f(x)

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Q: consider following fucti hlx)= -3x5-5x4+20x?+6Ox Find the point on the groph of hlx) with the lages…

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Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with a…

A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1)

Q: Given that ƒ(1) = 2 and ƒ′(1) = 2, find the slope of the curvey = x ƒ(x) at the point (1, 2)

A: Given:  Given that ƒ(1) = 2 and ƒ′(1) = 2,  y = x ƒ(x) at the point (1, 2)

Q: Find the equation of the line that passes through the given point and has the given slope. (Use x as…

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Q: Find an equation of a line that passes through  ( − 4 , − 4 )  and is parallel to the line with…

A: The general equation of a line in slope-intercept form is given by the equation, y=mx+c where m is…

Q: the gradient of a straight line is 2x+3y=6 the slope (gradient) is what

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Q: Which of the following straight line equations have the same gradient as the line below 2y - 6х +7…

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Q: Draw the graph of y = 3x2+7x +3 and find the gradient of the curve at the point where x=-2 (the…

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Q: Given that the gradient of a line is, m = Find the equation of the line that is perpendicular to…

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Q: Based on data collected from various moving companies, a homeowner uses the linear model y = 1.5z +…

A: To tick the correct option

Q: A linear model that approximates average life-expectancy is y = 0.29t + 65.36, where y is the…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: Determine whether there exists a constant c such that the line ex - 2y = 4:  (a) Has slope 4…

A: a) We write the line in the y=mx+b form first  Given that slope=c/2=4  So, c=8  Answer(a): Yes, c=8…

Q: • If y is a linear function of x, then the coefficient of x is the slope of the line created by…

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Q: Find x so that AB has slope m, where: a) A is (2, – 3), B is (x, 5), and m = 1 b) A is (x, – 1), B…

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Q: Find the gradient of the line joining the points: (0,0), (–2, –3) A E -3 3. B 3 F 2 C -1 H 112 113

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Q: Given that the equation of a straight line is 12. -4y+8=0. Find the gradient. (A) (В) A8. 12 3 -12…

A: As we know that the equation of the straight line slope-intercept form: y=mx+c Where; ''m'' is the…

Q: Estimate the slope of the graph at the points (x1, Y1) and (X2, Y2). At (x1, Y1), slope %3D At (x2,…

A: For slope 1 from the above graph observe the line on x1,y1 which is located so, the observed points…

Q: A company charting its profits notices that the relationship between the number of units sold, x,…

A: Given: Profit earned on selling 200 units is $3100. Profit earned on selling 252 units is $6000.…

Q: Plot the pair of points and find the slope of the line passing through them. (0, 0), (-7, 8) Sup 1…

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Q: The gradient of the line 4y =4 - 6x  is?

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Q: Given that a is a parameter, find the slope of the linear function passing through the points: (-…

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Q: If A has coordinates (2, 1) and B has coordinates (x, 3), find x so that the slope of AB is – 3.

A: If A has coordinates (2, 1)  and B has coordinates (x, 3). The slope of the line AB is m = -3. To…

Q: Which of the following is the general form of the equation of the line that passes through the point…

A: topic - equation of a line from sope and point

Q: Find the gradient of the line joining the points A(3,4) and B(2,3)

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Q: Let f(x) = x² + 2x + 1, the point P(1, 4) be on the graph of f(x), and Q(x, f(x)) be the point…

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Q: Find the equation of the line whoes gradient is 3/2 and which passes through the point P,where P…

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Q: For each of the following find the equation of the line with gradient m that passes through the…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the equation of the linear function p that has p(4)=8 and that is parallel to h(u)=−3/10u+6.

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Q: - The average annual cost (in dollars) of tuition and fees at public four-year colleges for the year…

A: Let x be the year and y be the cost when x=2, y=$4098 and when x=9,  y=$7020