Question

I have no idea how to do this please help

Answer 1

Given:

Passing through (-8,3)

slope = 3/4

Asked: Find the equation of the line in slope-intercept form.

Solution:

To find the equation, we need to know first the slope-intercept form formula.

Slope-Intercept Form:

`y=mx+b`

where:

m = slope

b = y - intercept

Since we are given the slope, we will put it in the formula.

`\begin{gathered} y=mx+b \\ y=(3)/(4)x+b \end{gathered}`

Now, to find the y-intercept, b, we will substitute the given coordinates to find the value of b.

`\begin{gathered} (-8,3) \\ y=(3)/(4)x+b \\ 3=(3)/(4)(-8)+b \\ 3=(-24)/(4)+b \\ 3=-6+b \\ b=3+6 \\ b=9 \end{gathered}`

Now, we will have the equation in slope-intercept form.

`y=(3)/(4)x+9^{}`

ANSWER: y = 3/4x + 9