Question

3x=4+4y

Answer 1

how to find x and y intercept

3x-4y=12

To find the x-intercept, substitute in 0 for y and solve for x.
3x-4(0)=12

Complete the multiplication of -4 by each term inside the parenthesis.
3x+0=12

Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
3x=12

Divide each term in the equation by 3.
(3x)/(3)=(12)/(3)

Simplify the left-hand side of the equation by canceling the common terms.
x=(12)/(3)

Simplify the right-hand side of the equation by simplifying each term.
x=4

To find the y-intercept, substitute in 0 for x and solve for y.
3(0)-4y=12

Complete the multiplication of 3 by each term inside the parenthesis.
0-4y=12

Combine all similar expressions.
-4y=12

Divide each term in the equation by -4.
-(4y)/(-4)=(12)/(-4)

Simplify the left-hand side of the equation by canceling the common terms.
y=(12)/(-4)

Solve the equation.
y=-3

These are the x and y intercepts of the equation 3x-4y=12.
x=4, y=-3


how to find the slope and y intercept

3x-4y=12

Since 3x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 3x from both sides.
-4y=-3x+12

Divide each term in the equation by -4.
-(4y)/(-4)=-(3x)/(-4)+(12)/(-4)

Simplify the left-hand side of the equation by canceling the common terms.
y=-(3x)/(-4)+(12)/(-4)

Simplify the right-hand side of the equation by simplifying each term.
y=(3x)/(4)-3

To find the slope and y intercept, use the y=mx+b formula where m=slope and b is the y intercept.
y=mx+b

Using the y=mx+b formula, m=(3)/(4) and b=-3.
m=(3)/(4), b=-3