Slope 8 through (3,1)

y=8x-23

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Given that the slope is 8, m=8.

subst. m=8 into the equation:

y= 8x +c

To find c, substitute a coordinate.

When x=3, y= 1,

1= 8(3) +c

1= 24 +c

c= 1 -24

c= -23

Thus, the equation of the line is y= 8x -23.