Question

The points (8, -9) and (0, -2) fall on a particular line. What is its equation in slope-

intercept form?
) Write your answer using integers, proper fractions, and improper fractions in simplest
form.
Video G

Answer 1

y = -7/8x -2

Explanation:

You want the slope-intercept equation of the line through the points (8, -9) and (0, -2).

Slope

The slope of the line through points (x1, y1) and (x2, y2) is given by the formula ...

m = (y2 -y1)/(x2 -x1)

For the given points, the slope of the line is ...

m = (-2 -(-9))/(0 -8) = -7/8

Intercept

The y-intercept of the line is the y-value when x = 0. The point (0, -2) tells you the y-intercept is -2.

Equation

The slope-intercept equation is ...

y = mx +b . . . . . . where m is the slope, and b is the y-intercept

For a slope of -7/8 and a y-intercept of -2, the equation is ...

y = -7/8x -2