Answer: y=4/5x-2 or y=4/5x+(-2)
Step-by-step explanation:
The formula for slope-intercept form is y=mx+b.
To find the slope, we can use the formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] and plugging in the points given.
[tex]m=\frac{6-2}{10-5} =\frac{4}{5}[/tex]
We know our slope is 4/5. We can plug this into our slope-intercept form and then plug in a point to find b, y-intercept.
[tex]y=\frac{4}{5} x+b[/tex]
[tex]2=\frac{4}{5}(5)+b[/tex]
[tex]2=4+b[/tex]
[tex]b=-2[/tex]
We know the y-intercept is -2.
THe final equation is y=4/5x-2 or y=4/5x+(-2).
