math (please help)
posted by kaitlyn on .
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 slopeintersect form.
3. Write an equation for the vertical line that contains point E(10, 3).

#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 
Thank You so much Jai