6. Simplify completely: -2(2y – 3)2 + 2y(-y³ + 3y² – 7) – (y³ – y+ 6) 7. Find the equation of the line that passes through the points (3,7) and (7,-1).

Q: Find the intersection point of the line 3x – 2y = 0 and the line passing through (-1, 0) and…

A: equation of one line 3x-2y=0 And second line passing through (-1,0) and is vertical (perpendicular)…

Q: The equation of the line of passage to the point (2,-2) and is perpendicular to the line y=1/2x+7…

A:

Q: 4) Which line is parallel to 5x + 3y--10? A) 5x - 10y 6 B) 10x -6y 1 C) 3x-5p-3 3. D) -x+ y=7 5. E)…

A:

Q: Find the equation of the line perpendicular to 6x+5y=1 passing through the point (2,5)(2,5)

A:

Q: 5. Find the equation of the line perpendicular to 3x - 2y = 5 that goes through the point (3, -4). O…

A: Please refer the attached image for complete solution.

Q: 6. Find the intersection point of these two lines: x+y=1 and 6x+5y=15

A: Find the intersection point x+y=1   - - - - - - (i)  6x+5y=15   - - - - - - (ii) From the question…

Q: Q2): Find the equation of the line passes through p(2,-4,5), normal to 971. x+8 = 2t, y-5= 3t, 1 -z…

A: Given problem:- Find the equation of the line passes through p(2,-4,5), normal to x + 8 = 2t, y - 5…

Q: 8. Find the equation of the line passing through the point (-2, 7) and perpendicular to the line 3y…

A:

Q: Find the equation of the line through (4/3, -2) parallel to the y axis. O a. 3x-4 O b. 3y--4 -3x-D4…

A: Let's find.

Q: 12. Find an equation of the line perpendicular to 3x – 2y = 7 that contains the point (1, 5).

A: In this question, we have to find the equation of a line that is passing through the point (1, 5)…

Q: 3. Find the equation/s of the TL to 9x² +16y² = 52 which is parallel to the line 9x-8y = 1.

A:

Q: Find the equation of the line that passes through the point (3, 5) and is parallel to the line 2x +…

A: Given,          The equation of the line that passes through the point 3,5 and is parallel to the…

Q: 2x y 3y-20 of Given two parallel lines cut by a transversal, solvefor x and y. %3|

A: The figure is given by To evaluate : The values of x and y

Q: 6.) Find the equation of the line perpendicular to 2y – 8x = 24 which also passes through the point…

A: Concept : The product of the slope of the two perpendicular line is -1 Given, the equation of the…

Q: 3. Find the standard form for the equation of the line which passes through the point (3, –2) and…

A: FORMULA : General equation of any staright line => y = mx +c TO CALCULATE : m & c GIVEN : c

Q: 4. Find the equation of the line perpendicular to the line 3y = 2 – 4xand passing through the point…

A: The slope of perpendicular line is given by, -dx/dy

Q: is an equation of the line that passes through the point (-2, 7) and is endicular to the line x-4y =…

A:

Q: find an equation of a line that passes through the point (-1,8) and is parralel to 3x+4(y-1)=3 and…

A: Line 1 is given as,

Q: Create the equation of a line that is perpendicular to 3x + 2y = 10 and passes through (-4, 3). For…

A: We have the equation of line 3x+2y=10. Now,           3x+2y=10⇒2y=10-3x⇒y=10-3x2⇒y=5-32x Slope =…

Q: What is the equation of the line that cuts the y-axis at g and is parallel to y= 5x + 2 ? O y=-8x+2…

A:

Q: The equation of the line with an xx-intercept of −2 and a yy-intercept of −2 can be written in the…

A: The x- intercept of a line is (-2, 0) and y-intercept is (0, -2) The equation of line in slope…

Q: Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9…

A: If two lines are perpendicular then product of their slopes is equal to -1 Now, slope of line…

Q: Find the equation of the line perpendicular to -x - 4y = 6 and passes through the point whose…

A:

Q: Find the equation in general form of a line perpendicular to 2x + 3y – 9 = 0 that passes through the…

A: The equation of a line is given by 2x+3y-9 = 0                     ........1 The point is x0, y0 =…

Q: 11. Write an equation parallel to x- 3y = 9 that passes through the point (3, -1). 1) through: (2,…

A: For parallel lines the slope should be same 'm'.  Then we will be using the equation of line passing…

Q: 2. Find the equation of a line which has a y-intercept equal to -2 and is also perpendicu to the…

A: Given data is: y-intercept of required line  c=-2 To find the equation of the line which is…

Q: x2- 2x + 4y = 19, the line x = 1, and the x-axis. %3D

A:

Q: 7. Which is the equation of a line that passes through the point (-5, 0) and has a y intercept of 15…

A:

Q: Find an equation of the line perpendicular to the line y = -7x + 7 31 passing through the point (12,…

A:

Q: 2. Find the line L passes through the point (-2,2) a L:2x+y=4.

A:

Q: Q2. Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line…

A: Given point is (-3,2,-1). And the planes are,

Q: 8 Q1) Find the line that passes through the point (4, - ) and through the point of intersection of…

A: Given: The line passes through the point 4,85. Also, it passes through the point of intersection of…

Q: Find the equation of the line that passes through the point (-3, 5) and is parallel to the line X+…

A:

Q: Whatis the equation of the line that passes through (-3,5) and is parallel to theline 4x - 2y + 2 =…

A: The line passing through -3,5 and parallel to the line 4x-2y+2=0

Q: 3. Find the equation of the line which is a) parallel to the line 3x+ 2y = 0 and passing through the…

A: First we change the given equation into slope intercept form  y = mx + c ......(1) then we find the…

Q: 14. What is the equation of the line perpendicular to =(x – 6) and passes through the point (-3,2)?…

A:

Q: 11. Find the equation of the line that is perpendicular to the line y-x+4 and passes through the…

A: The equation y=-12x+4 is of the form y=mx+c. Thus, slope -12.

Q: find the equation of the line passing through the point ( 2,3) and perpendicular to the line 2y = 6…

A: In the given question it is required to calculate the equation of line passing through (2,3) and…

Q: 8. Find the equation of the line passing through the point (-7, 8) and perpendicular to the line 2y…

A:

Q: Find the point on the line 5x + 2y + 7 = 0 which is closest to the point (1, –2)

A:

Q: Find an equation of the line that passes through the point (2, 4) and is perpendicular to the line…

A: Given : To determine the equation of the line passing through the point 2,4 and perpendicular to 3x…

Q: 19. What is the equation in slope-intercept form for the line parallel to y = -3x + 9 that contains…

A:

Q: 8. Find the equation of the line passing through the point (4, 5) and perpendicular to the line 3y =…

A:

Q: 4) Find the point in which the line through the origin perpendicular to the plan 2x - y -z = 4 meets…

A:

Q: a. Parallel to y = -5x + 4 and passes through (-1, 4) b. Parallel to 2x – 4y = 8 and passes through…

A:

Q: 8. What is y-intercept of the line 4x + 2y = 12? How di you find it.

A:

Q: 2. Find the equation of the line that is perpendicular to -5x + 3y = 4 and passes through the point…

A:

Q: Find an equation for the line with the given properties. Perpendicular to the line - 4x+9y = - 46;…

A: Given Data: The equation of the line perpendicular to the required line is: -4x+9y=-46 ......(1) The…

Q: Find the Equation of the line that is perpendicular to the line 3x + 4y = 7 and goes through the…

A: The given equation of line is 3x+4y=7the slope of the line ax+by+c=0 is given by -abtherefore,for…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.