Question

A line that includes the point (0, -2) has a slope of -3. What is its equation in slope-intercept form?

Answer 1

Answer:

$y=-3x-2$

Step-by-step explanation:

Equation of straight line in slope intercept form is given as

$y=mx+b$-------- (1)

Here $m=-3$ and $(x_1, y_1)=(0, -2)$

$y-y_1 = m(x-x_1) \\ y+2 = - 3(x-0) \\ y =-3x-2$----------- (2)

Comparing (1) and (2)

m=-3 and b=-2

Equation (2) is equation of straight line with slope -3 and y-intercept -2 in slope intercept form