Question

A line that includes the point (-8,-6) has a slope of 1. What is it's equation in slope-intercept form?

Answer 1

The equation in slope-intercept form:

• 
  `y = x+2`

Explanation:

Given the point

• (-8, -6)

• slope = m = 1

We know that the slope-intercept form of the line equation is

`y=mx+b`

where m is the slope and b is the y-intercept.

substituting the values m=1 and the point (-8, -6) to determine the y-intercept i.e. 'b'.

`y=mx+b`

-6 = 1(-8)+b

-6 = -8 + b

b = -6+8

b = 2

Now, substituting the values m=1 and the b = 2 to determine the line equation in slope-intercept form

`y=mx+b`

`y = 1(x) + 2`

`y = x+2`