Question

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

Answer 1

`y=-3x-2`

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