GED Math - Slope-Intercept Form

Which of the following equations is written in slope-intercept form?

$\small y=4x+2$

$\small 4x-y+2=0$

$\small 4x-y=-2$

$\small x=\frac{1}{4}y-2$

Explanation

Slope-intercept form is written as $\small y=mx+b$ .

There is only one answer choice in this form:

$\small y=4x+2$

Rewrite the following equation in slope-intercept form.

$y=\frac{3}{4}x+2$

$x=\frac{4}{3}y-\frac{8}{3}$

$y=\frac{3}{4}x+3$

$y=\frac{3}{4}x+32$

Explanation

The slope-intercept form of a line is: , where is the slope and is the y intercept.

Below are the steps to get the equation into slope-intercept form.

$2+4y=3x+10 \textup{ (Subtract 2 from both sides)}$

$4y=3x+8 \textup{ (Divide both sides by 4)}$

$y=\frac{3}{4}x+2$

What is the y-intercept of the line with the following equation:

Explanation

There are two ways that you can find the y-intercept for an equation. You could substitute in for . This would give you:

Simplifying, you get:

However, another way to do this is by finding the slope-intercept form of the line. You do this by solving for :

Just divide everything by :

Remember that the slope-intercept form gives you the intercept as the final constant. Hence, it is as well!

What is the y-intercept for the following equation:

Explanation

There are two ways that you can find the y-intercept for an equation. You could substitute in for . This would give you:

Simplifying, you get:

However, another way to do this is by finding the slope-intercept form of the line. You do this by solving for . Indeed, this is very, very easy. Recall that the slope intercept form is:

This means that, as written, your equation obviously has . You don't even have to do all of the simplification!

Which of the following equations is in slope-intercept form?

$y= \frac{1}{2x}+1$

$x=\frac{y}{2}$

Explanation

The slope-intercept form is defined as .

The equations in the answer choices are not in slope-intercept form.

The equation $y= \frac{1}{2x}+1$ is not linear.

The equation is in standard form.

The answer is:

What is the equation of the line between and ?

$y=\frac{5}{2}x+10$

Explanation

In order to figure this out, you should use your slope-intercept formula. Remember that the y-intercept is the place where is zero. Therefore, the point gives you your y-intercept. It is . Now, to find the slope, recall the slope equation, namely: