Question

A line passes through the point (−1, -2) and has a slope of 6.

Write an equation in slope-intercept form for this line.

Answer 1

y=mx+b
-2=6(-1)+b
-2=-6+b
4=b

Answer 2

y = 6x + 4

Explanation:

Slope-intercept form:

Slope-intercept form is a form of linear equation.

y = mx + b

Here, m is the slope and b is the y-intercept.

m = 6

The line passes through the point (-1, -2). Substitute x = -1 & y = -2 in the above equation and find the value of b.

-2 = 6*(-1) + b

-2 = -6 + b

To isolate b, add 6 to both sides.

-2 + 6 = b

`\boxed{\bf b = 4}`

Slope intercept form:

`\boxed{\bf y = 6x + 4}`