SOLUTION: Hope you can help! I have three questions. 1. Find the slope and the y-intercept of the line. Write fractional answer in the lowest terms. 4y+4x+9=12+4x Slope is__. The y-intercept
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Question 172523: Hope you can help! I have three questions. 1. Find the slope and the y-intercept of the line. Write fractional answer in the lowest terms. 4y+4x+9=12+4x Slope is__. The y-intercept is (0,_). second question. Find the slope if it exist, of the line containing the pair of points (8,10) and (9,-8) the slope m=__. The third question. Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b (-7,8);2x=7y+5 Simplify answer use integer or fraction for any expression.
Found 2 solutions by Mathtut, jojo14344:
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
1)4y+4x+9=12+4x---> combine like terms
:
4y=3
:
y=3/4.......so line is horizontal....meaning slope is take any two points on the line to show this (1,3/4), (2,3/4) m= (3/4)-(3/4)/2-1=0/1=0
y intercept is
:
2)slope is change in y over change in x points (8,10) and (9,-8)
:
3)any parallel lines have equal slopes.....so first we need to write our equation in y=mx+b format to find the slope. 2x=7y+5--->7y=2x-5-->y=(2/7)x-5/7
:
so m=2/7....so again a line parallel will have this same slope
:
(-7,8) is our point......using the point slope formula we get
:
y-8=(2/7)(x-(-7))
:
y-8=(2/7)x+2
:
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
1. Find the slope and the y-intercept of the line. Write fractional answer in the lowest terms. 4y+4x+9=12+4x Slope is__. The y-intercept is (0,_).
y-intercept;
.
second question. Find the slope if it exist, of the line containing the pair of points (8,10) and (9,-8) the slope m=__.
Via Slope form:
.
The third question. Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b (-7,8);2x=7y+5
---> --->
---->Line 1------->
Remember for parallel lines:
Then,
Thru points (-7,8):
Therefore ------> , Answer (Line 2)
We'll see the graph:
-----> RED, Line 1; GREEN, Line 2
Thank you,
Jojo
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