Find the coordinates for the midpoint of the segment with endpoints given. (12, 4) and (-8, 8)

1 answer:

4 0

The midpoint means your cutting it in half, so you want to take the sum of the endpoints and divide them by two. The equation for this is (x1 + x2 / 2 , y1 + y2 / 2).
(12 + -8 / 2 , 4 + 8 / 2)
(4/2 , 12/2)
(2,6) is your midpoint

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Graph the line of the equation 8x/5 - 2y = -8 using its slope and y-intercept

satela [25.4K]

Answer:

$y=\frac{4}{5}x+4$

Step-by-step explanation:

You'll need to get this equation in slope-intercept form by solving for y. I do a little extra here to get it in the correct form, but I think it's pretty clear. Let me know if I need to clarify.

$\\\\\frac{8x}{5}-2y=-8\\\\-2y=-\frac{8x}{5}-8\\\\2y=\frac{8x}{5}+8\\\\y=\frac{4}{5}x+4$

Once it's in slope-intercept form, both the slope and the y-intercept are readily available so you can easily graph it. I graphed both of them in the attached image so you can see that they are the same line.