SOLUTION: Write the standard form of the line with the given information. Include your work in your final answer. Type your answer in the box provided to submit your solution. The line co

Algebra ->  Linear-equations -> SOLUTION: Write the standard form of the line with the given information. Include your work in your final answer. Type your answer in the box provided to submit your solution. The line co      Log On


   



Question 1186763: Write the standard form of the line with the given information. Include your work in your final answer. Type your answer in the box provided to submit your solution.
The line containing a slope of 3 and a y-intercept of -2.
Write the standard form of the line that passes through the point (1,5) and is parallel to the x-axis. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Write the standard form of the line that contains a slope of -1/2 and y-intercept of 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Write the standard form of the line that contains a y-intercept of -3 and passes through the point (3,0) . Include your work in your final answer. Type your answer in the box provide to submit your solution.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

The line containing a slope of 3 and a y-intercept of -2.


given:
m=3
y-intercept of -2
use slope intercept form:
y=mx%2Bb where m is a slope and b is y-intercept
substitute given values
y=3x-2

Write the standard form of the line that passes through the point (1,5) and is parallel to the x-axis. Include your work in your final answer. Type your answer in the box provided to submit your solution.
answer:
the line that passes through the point (1,5) and is parallel to the x-axis is horizontal line y=5


Write the standard form of the line that contains a slope of -1%2F2 and y-intercept of 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.
first use slope intercept form
y=mx%2Bb where m=-1%2F2 is a slope and b=1
y=-%281%2F2%29x%2B1 ....both sides multiply by 2
2y=-x%2B2
x%2B2y=2->the standard form of the line


Write the standard form of the line that contains a y-intercept of+-3 and passes through the point (3,0) . Include your work in your final answer. Type your answer in the box provide to submit your solution.
use point slope formula:
y-y%5B1%5D=m%28x-x%5B1%5D%29
given:
(x%5B1%5D,y%5B1%5D) =(3,0)
b=-3-> (x%5B2%5D,y%5B2%5D) =(0,-3)
find a slope: m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%28-3-0%29%2F%280-3%29=-3%2F-3=1
y-0=1%28x-3%29
y=x-3
-x%2By=-3 ->the standard form of the line