Give the x and y intercepts of the graph of 3x-2y=12.
12/3=x
12/2=y
solve for x and y in each
To find the x-intercept of a graph, we need to set y = 0 and solve the equation for x.
So, when y = 0, the equation becomes:
3x - 2(0) = 12
Simplifying, we get:
3x = 12
To solve for x, divide both sides of the equation by 3:
x = 12/3
x = 4
Therefore, the x-intercept of the graph is x = 4.
To find the y-intercept of a graph, we need to set x = 0 and solve the equation for y.
So, when x = 0, the equation becomes:
3(0) - 2y = 12
Simplifying, we get:
-2y = 12
To solve for y, divide both sides of the equation by -2:
y = 12/-2
y = -6
Therefore, the y-intercept of the graph is y = -6.
So, the x-intercept is 4 and the y-intercept is -6.