Posted by **kaitlyn** on Thursday, October 31, 2013 at 11:38am.

1. Write the equation for the horizontal line that contains point G(-8, 8).

2. What is an equation for the line that passes through points (-1, -4) and (1, 4)? Write the equation in slope-intersect form.

3. Write an equation for the vertical line that contains point E(10, -3).

- math (please help) -
**Jai**, Thursday, October 31, 2013 at 12:07pm
#1.

Note that horizontal line has a zero slope, and in the form y = c, where c is a any real number.

Therefore, if it passes through the point (-8,8), the equation must be y = 8.

#2.

If we are given the two points on the line, we first get the slope using the formula

m = (y2 - y1)/(x2 - x1)

where (x1,y1) and (x2,y2) are points on the line. Substituting,

m = (4 - (-4)) / (1 - (-1))

m = (4+4)/(1+1)

m = 4

Then we substitute it on the point slope formula:

y - y1 = m(x - x1)

Substituting,

y - 4 = 4(x - 1)

y = 4x - 4 + 4

y = 4x

#3.

Note that vertical line has a slope equal to infinity, and in the form x = c, where c is a any real number.

Therefore, if it passes through the point (10,-3), the equation must be x = 10.

Hope this helps :3

- math (please help) -
**kaitlyn**, Thursday, October 31, 2013 at 12:18pm
Thank You so much Jai

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