SOLUTION: Write an equation for the line that passes through (0,5) and is parallel to the line whose equation is 4x-y=3. a. y=-1/4x +5 b. y=4x-3 c. y=1/4x +5 d. y=4x+5 I'm not sure

Algebra.Com
Question 378275: Write an equation for the line that passes through (0,5) and is parallel to the line whose equation is 4x-y=3.
a. y=-1/4x +5
b. y=4x-3
c. y=1/4x +5
d. y=4x+5
I'm not sure which answer choice to choose, help? thanks!

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Making the choice after determining the equation for the New line.
4x-y=3 solving for y and putting into the slope-intercept form y = mx + b
y = 4x - 3 m = 4
Parallel lines have identical slopes. New Line:
y = 4x + b Using ordered pair p(0,5) to solve for b
5 = 4*0 + b
5 = b
y = 4x + 5
Answer d. would be the correct choice
RELATED QUESTIONS

write an equation in slope intercept form for the line that passes through (0,5) and is... (answered by mananth,math_tutor2020,josgarithmetic,MathTherapy)
Write an equation of the line that passes through (-5, -1) and is parallel to the line y... (answered by Cromlix)
What is the equation of the line, in standard form, that passes through (4, -3) and is... (answered by ikleyn)
What is the equation of the line, in standard form, that passes through (4, -3) and is... (answered by MathLover1)
Write an equation for the line that is parallel to the given line and that passes through (answered by richwmiller)
Write an equation in slope-intercept form for the line that is perpendicular to the line... (answered by stanbon)
How do you write an equation for a line that is parallel to a given line and passes... (answered by vleith)
Use the point slope formula to write an equation of a line that passes through (-6,7) and (answered by elima)