What is the equation of the line that passes through the point (8,1) and has a slope
of –3/4?

Step-by-step explanation:

The slope is already given as so all we have to do is solve for y-intercept

First, write the equation in slope-intercept form

Next, use the point to substitute the x and y value and solve for the y-intercept

where b = y-intercept

point: (8, 1)

Then multiply 8 and -3/4

Finally, solve for the b (y-intercept)

b =

b = 7

so the y-intercept is 7

And the equation of the line that passes through the point (8, 1) and has a slope of -3/4 is