SOLUTION: find the slope x intercept and y intercept of each line 1.)3x-y=6 2.)2x=4y=7 find the slope intercept form of the equation of the line passing through the point (3,-5

Algebra ->  Linear-equations -> SOLUTION: find the slope x intercept and y intercept of each line 1.)3x-y=6 2.)2x=4y=7 find the slope intercept form of the equation of the line passing through the point (3,-5      Log On


   



Question 211332: find the slope x intercept and y intercept of each line
1.)3x-y=6
2.)2x=4y=7

find the slope intercept form of the equation of the line passing through the point (3,-5) with a slope of -4

Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
1) y int (0,-6)
x int (2,0)
2) y int (0,7/4)
x int (7/2,0)
3) y=mx+b
y=-4x+6

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
find the slope x intercept and y intercept of each line
1.)3x-y=6
2.)2x=4y=7 (Why are 2 equal signs here?

find the slope intercept form of the equation of the line passing through the point (3,-5) with a slope of -4

1.
3x - y = 6
- y = -3x + 6
y+=+3x+-+6

Therefore, slope = highlight_green%283%29

For x-intercept, set y to equal 0
0 = 3x - 6
x = 2....x-intercept: (highlight_green%282%29,highlight_green%280%29)

For y-intercept, set x to equal 0
y = 3(0) - 6
y = -6....y-intercept: (highlight_green%280%29,highlight_green%28-6%29)

2.
2x=4y=7 (I cannot give an answer to an EXPRESSION with 2 equal signs)

3.
find the slope intercept form of the equation of the line passing through the point (3,-5) with a slope of -4

With the given information, the POINT-SLOPE form should be used
Point being: (3, -5) and slope, m, being - 4, we will have:

y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29

Substituting, we get: y - -5 = -4(x - 3)
y + 5 = -4x + 12

Therefore, the slope intercept form of the equation of the line is: highlight_green%28y+=+-4x+%2B+7%29