Question

can you please help me The function is4x + 7y = 28Graph this function using the intercepts

Answer 1

We are given the following function

$4x+7y=28$

The x-intercept is the point where the line crosses the x-axis.

The y-intercept is the point where the line crosses the y-axis.

To find the x-intercept, substitute y = 0 into the function

$\begin{gathered} 4x+7y=28 \\ 4x+7(0)=28 \\ 4x=28 \\ x=\frac{28}{4} \\ x=7 \end{gathered}$

So, the x-intercept is (7, 0)

To find the y-intercept, substitute x = 0 into the function

$\begin{gathered} 4x+7y=28 \\ 4(0)+7y=28 \\ 7y=28 \\ y=\frac{28}{7} \\ y=4 \end{gathered}$

So, the y-intercept is (0, 4)

Finally, let us plot these intercepts points on the graph and draw a line connecting them.

As you can see, the graph of the function is drawn using the x-intercept and y-intercept.