Answer:
The equation in the slope-intercept form will be:
y = 1/4x - 7
Step-by-step explanation:
Given the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)[/tex]
[tex]m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}[/tex]
[tex]m=\frac{1}{4}[/tex]
We know that the slope-intercept of line equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'
y = mx+b
-8 = 1/4(-4)+b
-8 = -1 + b
b = -8+1
b = -7
so the y-intercept = b = -7
substituting m = 1/4 and b = -7 in the slope-intercept form of line equation
y = mx+b
y = 1/4x + (-7)
y = 1/4x - 7
Thus, the the equation in slope-intercept form will be:
y = 1/4x - 7
