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.