Question

Graph the line with slope
3/4
passing through the point (-4,-1)
.

Answer 1

Answer: See attached.

Explanation:

First, we will create an equation with the slope given.

y =
`(3)/(4)`x + b

Then, we will substitute this value in and solve for b (our y-intercept). Then we will graph the equation.

y =
`(3)/(4)`x + b

(-1) =
`(3)/(4)`(-4) + b

-1 = -3 + b

b = 2

Our final equation:

y =
`(3)/(4)`x + 2

See attached for the graph. We will plot the point (0, 2) for our y-intercept and then move 3 units up for every four units right, according to the slope.