Question

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

Answer 1

Answer:

$y=-\frac{3}{4}x+7$

Step-by-step explanation:

The slope is already given as $-\frac{3}{4}$ so all we have to do is solve for y-intercept

First, write the equation in slope-intercept form

$y=-\frac{3}{4}x+b$

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

$y=-\frac{3}{4} x+b$ where b = y-intercept

point: (8, 1)

$1=-\frac{3}{4}(8)+b$

Then multiply 8 and -3/4

$1=-6+b$

Finally, solve for the b (y-intercept)

b = $1--6$

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 $y=-\frac{3}{4}x+7$