Question

Write the equation of a line in SLOPE-INTERCEPT FORM that goes through (7,-3) and (6,-8).

Answer 1

Slope formula: y2-y1/x2-x1

-8-(-3)/6-7

-5/-1

5

Find the y-intercept with the formula for slope intercept form.

y = mx + b

-3 = 5(7) + b

-3 = 35 + b

-3 - 35 = 35 - 35 + b

-38 = b

Fill in what we have:

y = 5x - 38

Best of Luck!

Answer 2

y = 5x-38

Explanation:

The slope is m = (y2-y1)/(x2-x1)

= (-8 - -3)/(6-7)

= ( -8+3)/(-1)

=-5/-1

=5

Slope intercept form is

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

y = 5x+b

Substitute a point into the equation

-8 = 5(6) +b

-8 = 30+b

-8-30 = 30-30+b

-38 = b

y = 5x-38