SOLUTION: Finde the equation of a line that is parellel to the line y=4x and contains the points (3,-7). Please Answer in slope-intercept form Thank You.

Question 399012: Finde the equation of a line that is parellel to the line y=4x and contains the points (3,-7).
Please Answer in slope-intercept form Thank You.
Found 2 solutions by Alan3354, solver91311:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A line and a point example.
Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2)
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Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y.
9x+3y = 36
3y= - 9x + 36
y = -3x + 12
The slope, m = -3
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The slope of lines parallel is the same.
The slope of lines perpendicular is the negative inverse, m = +1/3
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Use y = mx + b and the point (1,2) to find b.
2 = (1/3)*1 + b
b = 5/3
The equation is y = (1/3)x + 5/3 (slope-intercept form)
x - 3y = -5 (standard form)
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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Parallel lines have equal slopes.

Step 1: Determine the slope of the given line by inspection of the coefficient on .

Step 2: Use the point-slope form of an equation of a line:

where are the coordinates of the given point and is the slope of the given line.

Step 3: Solve the equation for in terms of everything else so that the equation is in slope-intercept () form.

John

My calculator said it, I believe it, that settles it

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