This table gives a few (x, y)(x, y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane.
xxx yyy
-79−79minus, 79 -68−68minus, 68
-68−68minus, 68 -51−51minus, 51
-57−57minus, 57 -34−34minus, 34
What is the xxx-intercept of the line?

The x-intercept of the line is (-85 , 0)

Step-by-step explanation:

∵ The line passes through points (-79 , -68) , (-68 , -51) , (-57 , -34)

- Chose any two points of them to find m

∵ = -79 and = -68

∵ = -68 and = -51

∴

∴ m =

Substitute the value of m in the form of the equation

∵ y = x + b

- To find b substitute x and y in the equation by the coordinates

    of any point on the line  

∵ x = -57 and y = -34

∴ -34 =   (-57) + b

∴ -34 =   + b

- Add  to both sides

∴ = b

∴ y = x +  

Substitute y by 0 to find x-intercept

∵ y = 0

∴ 0 = x +  

- Multiply both sides by 11

∴ 0 = 17 x + 595

- Subtract 595 from both sides

∴ -595 = 17 x

- Divide both sides by 17

∴ -85 = x

∴ The x-intercept of the line is (-85 , 0)

do i do it on a graph?

step-by-step explanation:

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)