Answer:
The equation of the line in slope-intercept form is: y = -2x - 10
Step-by-step explanation:
An equation for a line that passes through the points A = (−5, 0) and B = (−1, −8).
The formula to compute the slope, using two point is:
[tex]\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Compute the slope of the line as follows:
[tex]\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{-8-0}{-1+5}\\\\[/tex]
[tex]=\frac{-8}{4}\\\\=-2[/tex]
The slope of the line is -2.
Compute the equation of the line as follows:
[tex](y-y_{1})=m\times (x-x_{1})[/tex]
[tex]y-0=-2\times (x+5)[/tex]
[tex]y=-2x-10[/tex]
The y-intercept of the line is -10.
The equation of the line in slope-intercept form is:
y = -2x - 10
