Question

State the x and y intercepts for the equation y = 1/3x + 4

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

y = 1/3x + 4

Step 02:

equation of the line:

x = 0, y-intercept:

$y=\frac{1}{3}(0)\text{ + 4 = 0 + 4 = 4 }$

y = 0, x-intercept:

$\begin{gathered} 0=\frac{1}{3}x+4 \\ \\ -4=\frac{1}{3}x \\ \\ 3*(-4)=x \\ \\ -12=x \end{gathered}$

The answer is:

x-intercept:

x = -12

y-intercept:

y = 4