Find the slope and y-intercept.-2x + 3y = 21
Rewrite it as
y = (2/3)
That last answer got sent before I was done. Rewrite the equation as
y = (2/3)x + 7
Compare to the standard form y = mx + b,
where m is the slope and b is the y-intercept
so the y-intercept is 7
Yes, and the slope is 2/3
To find the slope and y-intercept of the equation -2x + 3y = 21, we need to rearrange the equation into slope-intercept form, which has the form of y = mx + b. In this form, m represents the slope and b represents the y-intercept.
Let's start by isolating y on one side of the equation:
-2x + 3y = 21
First, let's move the -2x term to the right side by adding 2x to both sides:
3y = 2x + 21
Next, to solve for y, divide every term by 3:
y = (2/3)x + 7
Now we can see that the equation is in slope-intercept form, y = mx + b, where m = 2/3 is the slope, and b = 7 is the y-intercept.
So, the slope of -2x + 3y = 21 is 2/3, and the y-intercept is 7.