Question

When you answered the question can you please put it the inter- where it belongs for example tell me where is the Y intercept answer and what is the X intercept answer

Answer 1

Given:

$4x-3y=12$

The y-intercept is the point where the line crosses the y-axis, at this point the x-coordinate is equal to zero. To find the corresponding y-coordinate, you have to replace the equation by x=0 and solve for y:

$\begin{gathered} 4x-3y=12 \\ 4\cdot0-3y=12 \\ 0-3y=12 \\ -3y=12 \end{gathered}$

Divide both sides by -3

$\begin{gathered} \frac{-3y}{-3}=\frac{12}{-3} \\ y=-4 \end{gathered}$

The y-intercept is (0,-4)

The x-intercept is the point where the line crosses the x-axis, at this point, the y-coordinate is zero. To find the x-coordinate of the x-intercept you have to replace the equation with y=0 and solve for x:

$\begin{gathered} 4x-3y=12 \\ 4x-3\cdot0=12 \\ 4x=12 \end{gathered}$

Divide both sides by 4

$\begin{gathered} \frac{4x}{4}=\frac{12}{4} \\ x=3 \end{gathered}$

The x-intercept is (3,0)