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.
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{0-6}{5-(-1)}\\\\m = \frac{-6}{6}\\m = -1[/tex]
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
