Question

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).

Answer 1

#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

Answer 2

Thank You so much Jai