Question

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

Answer 1

Step-by-step explanation:

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

$y=mx+b$

m - slope

b - y-intercept (0, b)

We have

$m=-\dfrac{1}{3},\ b=-7$

Substitute:

$y=-\dfrac{1}{3}x-7$

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:

$y=-\dfrac{1}{3}(-3)-7=1-7=-6\to(-3,\ -6)$

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