Answer:
y=9x-11
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{61--38}{8--3}=\frac{61+38}{8+3}=\frac{99}{11}=\frac{9}{1}=9[/tex]
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y--38)=9(x--3)
(y+38)=9(x+3)
y+38=9x+27
y=9x-11
