A. 2. A line with a slope of 4 passes through the point (-2, 3).
Write the equation for this line in slope-interceptform
b. Identify the y-intercept.
Identify the x-intercept.
Convert the equation to standard form.
Sketch a graph representing this line.
C.
d.
e.
ning through then

a. Slope intercept form:

b. The y intercept is 11

c. The x intercept is

d. Standard Form:

e. See attachment for graph

Explanation:

Given

Slope (m)

Solving (a): The line equation in slope intercept

This is solved using:

Substitute values for y1, x1 and m

Add 3 to both sides

Solving (b): The y intercept

To do this, we simply take x as 0.

Substitute 0 for x in

The y intercept is 11

Solving (c): The x intercept

To do this, we simply take y as 0.

Substitute 0 for y in

Collect Like Terms

Solve for x

The x intercept is

The y intercept is 11

d. The equation in standard form

Equation in standard form is written in the following format:

Subtract 4x from both sides

Hence, the equation in standard form is

e. The graph

We have that:

---- given

In (b), we calculated the y intercept to be 11.

This implies that:

So, we can plot the graph through and

See attachment for graph