SOLUTION: write in slope-intercept form 1.a slope -4 and y intercept of 3/4 2.a line passing through (-3,-6) with slope 9/5 3.line that passes through (5,2) and 9/5

Algebra ->  Linear-equations -> SOLUTION: write in slope-intercept form 1.a slope -4 and y intercept of 3/4 2.a line passing through (-3,-6) with slope 9/5 3.line that passes through (5,2) and 9/5       Log On


   



Question 64947: write in slope-intercept form
1.a slope -4 and y intercept of 3/4
2.a line passing through (-3,-6) with slope 9/5
3.line that passes through (5,2) and 9/5

Found 2 solutions by stanbon, funmath:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write in slope-intercept form
1.a slope -4 and y intercept of 3/4
y=-4x+3/4
-------------
2.a line passing through (-3,-6) with slope 9/5
y=mx+b;
You are given x=-3,y=-6, and m=(9/5)
You need to solve for "b".
-6=(9/5)(-3)+b
-6=-27/5+b
-30/5 = -27/5+b
b=-3/5
EQUATION: y=(9/5)x-3/5
-------------------
3.line that passes through (5,2) and slope = 9/5
2=(9/5)(5)=b
2=9+b
b=-7
EQUATION:
y=(9/5)x-7
Cheers,
Stan H.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
write in slope-intercept form
:
1.a slope -4 and y intercept of 3/4
The slope intercept form of a line is: highlight%28y=mx%2Bb%29, where m=slope and b=y-intercept.
In this case, m=-4 and b=3/4, so the equation is:
highlight%28y=-4x%2B3%2F4%29
:
2.a line passing through (-3,-6) with slope 9/5
When given a point and a slope, we can find the equation of the line with the point-slope formula: highlight%28y-y1=m%28x-x1%29%29, where m=slope and (x1,y1)=given point
In this case, m=9/5 and (x1,y1)=(-3,-6)
y-%28-6%29=%289%2F5%29%28x-%28-3%29%29
y%2B6=%289%2F5%29%28x%2B3%29
5%28y%2B6%29=5%289%2F5%29%28x%2B3%29
5y%2B30=cross%285%29%289%2Fcross%285%29%29%28x%2B3%29
5y%2B30=9%28x%2B3%29
5y%2B30=9x%2B27
5y%2B30-30=9x%2B27-30
5y=9x-3
5y%2F5=%289%2F5%29x-3%2F5
highlight%28y=%289%2F5%29x-3%2F5%29
:
3.line that passes through (5,2) and m=9/5
You have a point and a slope, use the point slope formula that we used for the last one:
m=9/5 and (x1,y1)=(5,2)
y-2=%289%2F5%29%28x-5%29
5%28y-2%29=5%289%2F5%29%28x-5%29
5y-10=cross%285%29%289%2Fcross%285%29%29%28x-5%29
5y-10=9%28x-5%29
5y-10=9x-45
5y-10%2B10=9x-45%2B10
5y=9x-35
5y%2F5=%289%2F5%29x-35%2F5
highlight%28y=%289%2F5%29x-7%29
:
Happy Calculating!!!