Answer:
Step-by-step explanation:
SLOPE FORMULA:
[tex]\displaystyle \mathsf{\frac{y_2-y_1}{x_2-x_1} }}[/tex]
SLOPE-INTERCEPT FORM:
[tex]\displaystyle \mathsf{y=mx+b}[/tex]
Y₂=5
Y₁=1
X₂=(-3)
X₁=8
Solve.
[tex]\displaystyle \mathsf{ \frac{5-1}{(-3)-8}=\frac{4}{-11}=-\frac{4}{11} }}[/tex]
m represents the slope.
b represents the y-intercept.
The slope is -4/11.
The y-intercept is 43/11.
So, the slope-intercept form of the line passing through of (8,1) and (-3,5) is y=-4/11x+43/11.
