Answer:
[tex]y=\frac{1}{5}x+6[/tex]
Step-by-step explanation:
The equation for slope is [tex]\frac{y_{1}-y_{2} }{x_{1}-x_{2} }[/tex]
plug the two given points into that equation to get the slope
[tex]\frac{7-6}{5-0}=\frac{1}{5}[/tex]
the slope is [tex]\frac{1}{5}[/tex]
to find the y-intercept, choose one of the points to plug into the equation you have so far ([tex]y=\frac{1}{5}x+b[/tex]); i'll be using the point (0, 6)
[tex]6=\frac{1}{5} (0)+b[/tex]
[tex]6=b[/tex]
