SOLUTION: write the equation of the line that is parallel to the graph of y=-4x-9 and whose y-intercept is 3

Question 537833: write the equation of the line that is parallel to the graph of y=-4x-9 and whose y-intercept is 3
Found 2 solutions by rfer, solver91311:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
y=-4x+3
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Parallel lines have equal slopes, so determine the slope of the given line by inspection since the equation is in slope-intercept form and then use the slope-intercept form to write an equation of the desired line.

Two things. No line can have a -intercept (or -intercept for that matter) that is simply a number. An intercept is a point and a point is described by an ordered pair (or triple or -tuple depending on the number of dimensions you are in). Hence it is incorrect to say that the -intercept is 3. Correctly stated, the -intercept is ; the -coordinate of the -intercept is 3.

The slope-intercept form of an equation is where is the slope and is the -coordinate of the -intercept. Just plug in the numbers and you are done.

Second thing: Note that you cannot write "the" equation of any line. You can only write "an" equation of a line. In the first place, you could just substitute the values in the point-slope form and have an equation of the desired line, or you could solve for to put it into slope-intercept form, or you could rearrange it into standard form, namely . Furthermore, for a given , , and , where describes a set of equations with an infinite number of elements, each of which graphs to the same line in .

John

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

RELATED QUESTIONS
Write a slope-intercept equation of the line whose graph is parallel to y=2x-9 and has... (answered by rfer)
write a slope-intercept equation of the line whose graph is parallel to y=6x-9 and has... (answered by rfer)
Write the equation of the line that is perpendiculat to the graph of y=-4x-9, and whose... (answered by tara0066)
Write the equation of the line that is perpendiculat to the graph of y=-4x-9, and whose... (answered by mananth)
Write a slope-intercept equation of the line whose graph is parallel to y=9x-3 and has... (answered by josmiceli)
Write the equation of the line that is parallel to the graph of y=1/2x+6 and whose y... (answered by Fombitz)
Write the equation of the line that is parallel to the graph of y=(1/2x)+6, and whose... (answered by stanbon)
Write an equation of the line that has a y-intercept of 3 and is parallel to the line... (answered by Alan3354)
write an equation in slope intercept form for the line that passes through (0,5) and is... (answered by mananth,math_tutor2020,josgarithmetic,MathTherapy)