Question

Write an equation in slope-intercept form of the line going through the points (-1,6)

and (5, 0).

Answer 1

Equation in slope-intercept form : y = -1x + 5

Explanation:

Given points are:

(-1, 6) and (5,0)

We will first find the slope.

`m = (y_2-y_1)/(x_2-x_1)\\\\m = (0-6)/(5-(-1))\\\\m = (-6)/(6)\\m = -1`

The general equation for slope intercept form is;

y = mx + b

Now we will find the value of b by putting one of the points in the general equation

Putting (5,0)

0 = -1(5) + b

0 = -5 + b

b = 5

The equation in slope intercept form is;

y = -1x + 5

Hence,

Equation in slope-intercept form : y = -1x + 5