posted by .

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).

#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

## Similar Questions

1. ### algebra

Write the equation of the line that passes through point (5, 4) with a slope of 0. would this be x=5 then?
2. ### algebra

Write an equation in slope-intercept form of the line that passes through the given points: (-1/2,-1), (3,5/2). Also, write an equation in point-slope form of the line that passes through the given points: (6,-3), (-1,9). <soo sick …
3. ### algebra (check plz)

write an equation in slope-intercept form of the line that passes through the given points. a. (-6,1), (3,-7) b. (-2/3,4), (6, -1/3) write an equation in point-slope form of the line that passes through the given poitns. c. (-2,5), …
4. ### math

i have more than one question so if u no any of the answers please tell me 1.) write the point-slope form of the equation of the line with slope -2 passing through the point ( -5, -9). 2.) write the point-slope form of an equation …
5. ### geometry

I would love for someone to check my work on the seven problems that I did. I would be eternally grateful. I am going to list my problems and answers. Even if you only want to check one of them, that would be great. 1. Write an equation …
6. ### Algebra

1.Tell whether the sequence is arithmetic. If it is, what is the common difference?
7. ### Math

What is the y-intercept of y = 2/3x + 2? I have to write it out but how?

What is the y-intercept of y = 2/3x + 2? I have to write it out but how?
9. ### Math

1. Use point-slope form to write the equation of a line that has a slope of 2/3 and passed through (-3,-1). Write your final equation in slope-intercept form. Is the answer y=2/3+-1 2. Write an equation of the line that passed through …
10. ### Algebra 2

Evaluate the function when x=1. f(x)=4x-2. Write the input and output as a set of ordered pairs, and identify the domain and range of the ordered pair. (6 points) Ordered Pair: Domain: Range: Write an equation of direct variation that …

More Similar Questions