Question

Write an equation of the line for the graph below. Write your equation

in point-slope form, y=mx+b
if cant are on graph numbers are 0,1 bottom is 8,-5​

Answer 1

`y=-(3)/(4)x+1` is the equation of line required in slope-intercept form.

Explanation:

First of all compute the slope:
`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`m=(-5-1)/(8-0)=-(3)/(4)\\\\\mathrm{Then\: find \:the \:y-intercept \:as:}\\\\y=\left(-(3)/(4)\right)x+b\:\quad\rightarrow\quad b=1\\\\\mathrm{So \:the\: equation\: of\: line\: is\: as:}\\\\y=-(3)/(4)x+1`

Thanks!