Question

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

Answer 1

Answer:

y = x + 5

Step-by-step explanation:

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

Slope of the line = change in y ÷ change in x = $\frac{7 - -2}{2 - -7}$ = 1

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

Slope = $\frac{y - 7}{x - 2}$ = 1

Cross multiplying this gives;

y - 7 = x - 2

y = x + 5