HELP! I cant understand how to find x and y intercepts on tables

Question

x y

-5 -32

-3 -18

-1 -4

6 45

7 52

Answer 1

From the table, we see that the points (-1, -4) and (-3, -18) are on the line.

So, the slope is (-18 - (-4)) / (-3 - (-1)) = -14/(-2) = 7.

Using the point slope form, an equation of the line is y - (-4) = 7(x - (-1))

So, y = 7x + 3

To find the y-intercept, set x = 0 and get y = 3

To find the x-intercept, set y = 0 to obtain x = -3/7

Answer 2

From the table for every increase in x by 2, y increases by 14, which means for every increase in x by 1, y increases by 7.

the y-intercept is when x = 0. when x is = -1, y is -4, so when x increases by 1 to 0, y will increase by 7 to 3, so the y intercept is 3.

the x-intercept is when y = 0. That occurs when y is between -4 and 45 and x is between -1 and 6. 0 is 4/49 of the way between -4 and 45. So we need to go 4/49 of the way between -1 and 6 to get the x intercept.

Compute 4/49 * (6--1) + -1 = 4/7 + -1 = -0.42. So the x-intercept is -0.42.