Question

Hello can anyone give me the step by step answer?

Answer 1

C. y=5x-2

Explanation:

Put the numbers in the x column in the x of the equation and do the same for y. Solve, and if both sides are equal, the equation is correct.

You can use any set of x and y and try each equation till you find the right one. (0,-2) would be the easiest, because you can just make x=0, but you have to test the correct equations again with a different set after. {I used (-8,-42).}

Answer 2

C

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 8, - 42 ) and (x₂, y₂ ) = (- 3, - 17 ) ← 2 ordered pairs from the table

m =
`(-17-(-42))/(-3-(-8))` =
`(-17+42)/(-3+8)` =
`(25)/(5)` = 5

The line crosses the y- intercept at (0, - 2 ) , then

y = 5x - 2 → C