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

Q: Find the equation of the line perpendicular to the liney = 2x + 1 and containing the point (3, 5).…

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Q: Suppose we have two lines and know only their gradients (slopes). How can we show that these lines…

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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: y? = -x + C

A: We will use formula for Slope of line passing through two points to find Gradient(Slope) of line

Q: A container of fuel dispenses fuel at the rate of 5 gallons per second. If y represents the amount…

A: Rate of fuel dispense = 5 gallons per second x represents time passed in seconds y represents fuel…

Q: Find the general equation Ax + By = C for the line with slope m = y intercept - 2. - and %3D

A: Given: The slope of the line is -23. The y-intercept is -2.  Formula used: Slope intercept form. The…

Q: What is the equation of a line that passes through the point (−1, −3) and has gradient of −2

A: Given line passes through the point -1,-3 and has gradient of -2

Q: In the coordinate plane, linep has slope 8 and y-intercept (0, 5). Line r is the result of dilating…

A: Given:               Slope of line p= m=8 And,                y-intercept = (0, 5)   So,         The…

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

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Q: Two lines that both have slopes of are parallel. O True O False

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Q: The gradient of the line  8y = 4 - 12 is

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Q: what is true about straight lines

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Q: 5) Find the slope using y = (=/3² at 2 First Principle (-3,8)

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Q: Determine the value of A so that the line whose equation is Ax + y - 2 = 0 is perpendicular to the…

A: Given: Ax+y-2=0 we know that slope of given line ax+by+c=0 is given by slope=-ab similarly, slope m1…

Q: 3. On rhombus WXYZ, if W is located at (-5, -2) and Y is located at (3, -2), what is the slope of XZ…

A: Givenwxyz is a Rhombusw(-5,-2),y(3,-2)we know that

Q: Find the equation of the line that intersects the lines 2x + y – 1= 0 = x – 2y + 3z 3x – y + z + 2 =…

A: We have to find the equation of the line that intersects the given lines and parallel to the line…

Q: The gradient of the line passing through the two points (7,4) and (-2, 5) is

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Q: Estimate the slope of the graph at the points (x,, y,) and (xɔ, y2). At (x, Y1), slope At (x2, Y2),…

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Q: Estimate the slope of the graph at the points (x,, y,) and (x2, Y,). At (x,, Y1), slope = At (x2,…

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Q: Prove that if two nonvertical lines have slopes whose product is - 1, then the lines are…

A: As we are given that the product of slopes is -1let l1 be the first non-vertical line having slope…

Q: A roller coaster track follows the curve y =(x3 + 20x2 - 1500x) / 720, as shown in the diagram…

A: Given roller coaster track follows,  y =(x3 + 20x2 - 1500x) / 720 The figure depicts this is given…

Q: OWhat is the gradient of a line perpendicular to a line with a gradient of 3?

A: We have to find the gradient of the line.

Q: he base of a ladder is 6 horizontal feet from the wall where its top rests. The slope of the line…

A: Given,         The base of a ladder is 6 horizontal feet from the wall where its top rests. The…

Q: Determine the slope of the line that contains the glv points. 1. E(-5, 6), Z(4, -3) 1. 2. Y(-1,-12),…

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Q: 2. What is the gradient of a straight line that is perpendicular to the straight line 3x +7y - 14 -…

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Q: The product of the slopes of two nonvertical perpendicular lines is

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Q: Line L, passes through points (a, 5b) and (3a, 2b). Ifline La is perpendicular to line L1, what is…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

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

A:

Q: Find equations of a line perpendicular to the lines x = y = z and x = 2y = 3z, passing through the…

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Q: The gradient of the line 2y =4 - 3x  is?

A: General form of equation of line is Y=mx+c m=slope=Gradient, C is the intercept on axis Now 2y=4-3x…

Q: Determine the value of A so that the line whose equation is Ax + y = 2 is perpendicular to the line…

A: We are given 2 lines: The first (l1) has the equation Ax+y=2 The second l2 passes through the points…

Q: Compute the slope of the costs O Corte are decreasing are c ecreasing

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Q: Find the equation of the line which has a gradient of -2 and passes through the line (-1,8)

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Q: What is the equation in point slope form for a linear function with a slope of m=-4 tha %3D (2, –7)?

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Q: 20. What is the direction of the line passing through the point (1,-2) that has the maximum slope?…

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Q: Find the point of intersection between the two lines: L:x 3t + 1, y = 2t - 1, z = t + 4 and L: 1 x-7…

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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: find the gradient of the line

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Q: What is the slope of the line passing through the points (6, 5) and (3, 1)? Show your work.

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Q: The equation of a family of straight lines with x and y intercept equal is?

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Q: The slope-intercept form of the line with soope equal to 2/9 and y-intercept at (0,4) is

A: Given: Slope= m=2/9  Point = (X1,Y1) = (0,4)

Q: Find the value of y between the points (2, y) and (5, − 1) with slope − 3.

A: We will use the slope formula to find the slope between (2,y) and (5,-1)

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

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Q: how to find equation of a tagent line y=x^4 +2e^x  at (0,2)

A: In the question we have to find the tangent at point (0,2)

Q: What is the meaning of Gradient of a line ?

A: Consider a line as shown in the below figure.

Q: Determine the value of A so that the line whose equation is Ax+y−7=0 is perpendicular to the line…

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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: snip

A: Given- Consider a line has a slope 32. To prove- That the slope of the line prependicular to the…

Q: 8. In the standard (x, y) coordinate plane, the line that passes through (1, –6) and has a slope of…

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Q: If ax +2hxy+by 0 represents two straight lines such that the slope of one %3D line is twice the…

A: We have to prove that