Question

Consider the following y-intercept and slope:(0, 2), m = 3/4Step 1 of 2: Find the equation of the line for the y-intercept and slope given above.

Answer 1

Given:

The y-intercept = (0, 2)

And the slope = m = 3/4

We will write the equation of the line in the slope-intercept form which will be as follows:

`y=mx+b`

Where: (m) is the slope and (b) is the y-intercept

So, from the given:

`\begin{gathered} m=(3)/(4) \\ b=2 \end{gathered}`

So, the answer will be the equation of the line:

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

Step 2: we will graph the line

Given the point (0, 2) on the XY-plane

So, we will use the slope to draw the line

The slope = rise/run = 3/4

So, from the point (0, 2) move to the right 4 units till reaching the point (4, 2) then goes up 3 units till reach the point (4, 5)

The line passes through the points (0, 2) and (4, 5)

The graph of the line will be as shown in the following figure: