Question

Graph the line with slope - 1/3 and y-intercept -7.

Answer 1

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept (0, b)

We have

`m=-(1)/(3),\ b=-7`

Substitute:

`y=-(1)/(3)x-7`

We only need two points to draw a line.

One we have: y-intercept → (0, -7).

Calculate other point:

Substitute x = -3 to the equation of a line:

`y=-(1)/(3)(-3)-7=1-7=-6\to(-3,\ -6)`

Mark the points on the coordinate plane and draw a line through the given points.