Question

wha is the equation of a line in slope intercept form that passes through the points (-2, 7) and (3, 12).

Answer 1

The slope is the distance between the y points divided by the distance between the x points = (12 - 7)/(3 - (-2)) = 5/5 = 1
The general equation is y = mx + b where m is the slope and b is the y-intercept.
Substituting the values (3, 12) gives 12 = (1 * 3) + b
12 = 3 + b
b = 12 - 3 = 9
The required equation is y = x + 9

Answer 2

Do you understand?

Answer 3

Thank you

Answer 4

You're welcome :)