Question

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

Answer 1

Answer:

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

Step-by-step explanation:

Given points are:

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

We will first find the slope.

$m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{0-6}{5-(-1)}\\\\m = \frac{-6}{6}\\m = -1$

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