Question

Find the equation of the line containing given point. Write the equation in slope-intercept form m= -3/4, point (8,-4)

Answer 1

EXPLANATION

Since we have the slope m=3/4 and the point (8,-4) we need to apply the slope intercept form of the line:

$y=mx+b$

Where m=-3/4 and (x,y)=(8,-4)

Plugging in the terms into the equation:

$-4=\left(-\frac{3}{4}\right)*8+b$

Multiplying numbers:

$-4=-6+b$

Adding +6 to both sides:

$-4+6=b$

Subtracting numbers:

$2=b$

Plugging in b=2 into the equation:

$y=-\frac{3}{4}x+2\text{ \lbrack EQUATION OF THE LINE\rbrack}$