Find the Slope and Y-Intersection of a Line that has the following equation.

3Y = 2X - 8

divide by 3 to put in standard form.

slope is the coefficient of x.
y intercept is when x is zero.

We can simplify the equation by dividing it by 3 to have:

y = (2/3)x - 8/3.

From the general equation of a line:
y = mx + b

where m is the slope.

So, from the equation we can clearly see that the slope (m) = 2/3

To find the y-intercept, we need to set x = 0 from the equation. So we have a y-intercept = 8/3

-5x-21=-22 2/2

To find the slope and y-intercept of a line given its equation, we can rewrite the equation in slope-intercept form, which is of the form y = mx + b, where m is the slope and b is the y-intercept.

Let's start by rearranging the equation 3y = 2x - 8:

Divide both sides of the equation by 3 to isolate y:
y = (2/3)x - 8/3

Now we can see that the coefficient of x is the slope (m) and the constant term is the y-intercept (b):

The slope (m) is 2/3.

The y-intercept (b) is -8/3.

Therefore, the slope of the line is 2/3 and the y-intercept is -8/3.