Question

slope = - 3/2; passes through (-4, 7)

Answer 1

Answer:

$y=-\frac{3}{2}x+1$

Step-by-step explanation:

The equation of a line in slope-intercept form is:

$y=mx+b$

Each variable represents:

"y" - y coordinate for any point on the line

"m" - slope of the line

"x" - x coordinate for any point on the line

"b" - y-intercept of the line (where the line intercepts the y-axis)

Given:

Slope = -3/2

Passes through (-4, 7) --> x = -4, y=7

Find:

y-intercept

Let's substitute the given information into the equation:

$y=mx+b\\7=-\frac{3}{2}(-4)+b\\7=-\frac{-12}{2}+b\\7=-(-6)+b\\7=6+b\\ Subtract 6 from both sides\\ b=1$

Therefore the final equation is:

$y=-\frac{3}{2}x+1$