SOLUTION: find an equation of the line passing satisfying each of the following. a. passing through (-5,4) and parallel to 2x-3y=4. leave answer in slope intercept form. b. passing throu

Algebra ->  Equations -> SOLUTION: find an equation of the line passing satisfying each of the following. a. passing through (-5,4) and parallel to 2x-3y=4. leave answer in slope intercept form. b. passing throu      Log On


   

Question 811796: find an equation of the line passing satisfying each of the following.
a. passing through (-5,4) and parallel to 2x-3y=4. leave answer in slope intercept form.
b. passing through (-5,4)and perpendicular to 2x-3y=4. leave answer in point slope form.
c.passing through (-2,4) and (3,5) leave answer in slope-intercept form.
d.passing through (4,2)and (4,5)
e.passing through (3,-5)and (7,-5)
Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
a. solve 2x-3y=4%7D%7D+for+y%0D%0A%7B%7B%7B2x-3y=4
-3y=-2x%2B4
y=%282%2F3%29x-%284%2F3%29
The equation can have any y int as long as the slope is 2%2F3
y=%282%2F3%29x%2B10

b. We already solved this equation for y in the first problem.
yy=%282%2F3%29x-%284%2F3%29
we need a line perpendicular so take the slope of this line and fli it and take its opposite
2%2F3=-3%2F2
The equation can have any y int as long as the slope is -3%2F2
y=%28-3%2F2%29x%2B10

c. We need an equation that passes through both off these points. find the slope
%285-4%29%2F%283-%28-2%29%29
1%2F5
y=%281%2F5%29x%2Bb
b is the y int. plug in (3,5) to find b.
5=%281%2F5%29%2A3%2Bb%0D%0A%7B%7B%7B5=%283%2F5%29%2Bb
4%282%2F5%29=b
plug back into equation for the answer
y=%281%2F5%29x%2B4%282%2F5%29

d. find the slope again.
%285-2%29%2F%284-4%29
3%2F0
When there is a zero on the both of the fraction it is undefined.
your equation is
x=0

e.Find the slope.
%28-5-%28-5%29%29%2F%287-3%29
0%2F4
When the zero is on the bottom the slope is zero.
Your equation is
y=o