Question

A line that includes the point (1, 3) has a slope of -7. What is its equation in slope-intercept

form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

y = -7x + 10

Explanation:

Using a point slope form equation

y - y1 = m( x - x1)

Given

Point = ( 1 , 3)

Slope = -7

Insert the values into

y - y1 = m(x - x1)

x1 = 1

y1 = 3

y - 3 = m( x - 1)

m = -7

y - 3 = -7(x - 1)

Using a slope intercept form equation

y = mx + c

Open the bracket

y - 3 = -7x + 7

y = -7x + 7 + 3

y = -7x + 10

The equation of the line is

y = -7x + 10