Question

A line that includes the point (-9, 1) has a slope of 1. What is its equation in

slope-intercept form?

Answer 1

The equation of the line in slope-intercept form is y = x + 10.

Step-by-step explanation:

The equation of the line in slope-intercept form is y = mx + b. The given slope is 1, and the point (x, y) = (-9, 1) lies on the line. We can substitute these values into the equation to find the value of b, the y-intercept.

First, let's substitute m = 1, x = -9, and y = 1 into the equation:
1 = 1*(-9) + b
Simplifying the equation gives:
1 = -9 + b
To solve for b, we can add 9 to both sides of the equation:
1 + 9 = -9 + b + 9
10 = b
Now that we have the values of m and b, we can write the equation of the line in slope-intercept form:
y = 1x + 10
Simplifying further, we get:
y = x + 10.

Answer 2

y=x+10

Step-by-step explanation:

1.) y-1=1(x+9)

2.) y-1=x+9

3.) y=x+10