Question

A line passes through the points (-7, -2) and (2, 7). What is its equation in slope-intercept form?

Answer 1

y = x + 5

Explanation:

The line passes through points (-7,-2) and (2,7)

Slope of the line = change in y ÷ change in x =
`(7 - -2)/(2 - -7)` = 1

Taking another point (x,y) on the line;

Slope =
`(y - 7)/(x - 2)` = 1

Cross multiplying this gives;

y - 7 = x - 2

y = x + 5