Question

Pls help i cant find​

Answer 1

A

Explanation:

The difference between the values of y are constant, that is

17 - 13 = 13 - 9 = 9 - 5 = 4

This indicates the relationship is linear.

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 7, 5) and (x₂, y₂ ) = (- 5, 9) ← 2 ordered pairs from the table

m =
`(9-5)/(-5+7)` =
`(4)/(2)` = 2

Use any ordered pair from the table for (a, b)

Using (a, b) = (- 7, 5), then

y - 5 = 2(x - (- (- 7)) , that is

y - 5 = 2(x + 7) → A

Answer 2

Let's see the first two points: (-7, 5) and (-5, 9)

The line passes these points has a form of: y = Mx + b

=> 5 = (-7)M + b

9 = (-5)M + b

Subtract the 1st equation from 2nd equation, we have:

4 = 2M

=> M = 2

Substitute M back into 1st equation:

=> 5 = (-7)*2 + b

=> b = 19

=> y = 2x + 19

or y - 5 = 2x + 14

or y - 5 = 2(x + 7)

=> Option A is correct

Hope this helps!

:)