Question

A line passes through the point (8,5) and has a slope of -3/4

Answer 1

Answer:

$y=-\dfrac{3}{4}x+11$

Step-by-step explanation:

The equation of the line that passes through the point $(x_1,y_1)$ and has the slope of $m$ is

$y-y_1=m(x-x_1)$

In your case, a line passes through the point (8,5) and has a slope of $-\frac{3}{4}$, so its equation is

$y-5=-\dfrac{3}{4}(x-8)\\ \\y-5=-\dfrac{3}{4}x+6\\ \\y=-\dfrac{3}{4}x+11$