Question

~I will mark as BRANLIEST and give you 55 points if you answer correctly.

Answer 1

Answer:

(4,-2)

Step-by-step explanation:

The equation for the graphed line is $y=\frac{1}{2} x-4$ as it has a slope of $\frac{1}{2}$ and a y-intercept of -4.

Now that we have the two equations, we can set them equal to each other to find the x-value at which they intersect

$\frac{1}{2} x-4=-x+2$

First, we can add 4 to each side

$\frac{1}{2} x=-x+6$

Then we can add x to each side

$\frac{3}{2} x=6$

Now we need to divide both side by $\frac{3}{2}$, which is the same thing as multiplying by $\frac{2}{3}$

$x=6*\frac{2}{3} \\\\x=\frac{12}{3} \\\\x=4$

Now that we have the x-value, we can plug it into one of the equations to see the y-value for where they intersect.

$y=-x+2\\\\y=-(4)+2\\\\y=-2$

This means that the coordinates for the intersection of these two lines would be $(4,-2)$

Answer 2

Answer:

The lines would intersect at: (6, -4)

Step-by-step explanation:

I graphed both lines.