Question

Find the slope and y-intercept that has infinite solutions to the equation Click Here for Help Video

−
6
x
+
3
y
=
60
−6x+3y=60

The slope would be
.

The y-intercept would be
. (Do not list as a coordinate point.)

Answer 1

To find the slope and y-intercept of the equation \(-6x + 3y = 60\), we first need to rewrite it in slope-intercept form (which is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept).

Starting with the equation:

\[
-6x + 3y = 60
\]

We can isolate \(y\) by adding \(6x\) to both sides:

\[
3y = 6x + 60
\]

Next, we divide the entire equation by \(3\) to solve for \(y\):

\[
y = 2x + 20
\]

In this form, we can see:

- The slope (\(m\)) is \(2\).
- The y-intercept (\(b\)) is \(20\).

Therefore:

- The slope would be **2**.
- The y-intercept would be **20**.