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.)

1 answer

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.