Answer:
The equation in the slope-intercept form will be:
Step-by-step explanation:
Given the points
The slope between two points
[tex]m=\frac{5-\left(-4\right)}{-2-8}[/tex]
[tex]m=-\frac{9}{10}[/tex]
As the point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -9/10 and (8, -4)
[tex]y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)[/tex]
Writing the line equation in the slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so the equation in the slope-intercept form will be:
[tex]y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)[/tex]
[tex]y+4=-\frac{9}{10}\left(x-8\right)[/tex]
subtract 4 from both sides
[tex]y+4-4=-\frac{9}{10}\left(x-8\right)-4[/tex]
[tex]y=-\frac{9}{10}x+\frac{16}{5}[/tex]
Therefore, the equation in the slope-intercept form will be:
[tex]y=-\frac{9}{10}x+\frac{16}{5}[/tex]
