Question 1204094: write an equation in slope intercept form for the line that passes through (0,5) and is parallel to the line whose equation is 4x-y=3
Found 4 solutions by mananth, math_tutor2020, josgarithmetic, MathTherapy:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
write an equation in slope intercept form for the line that passes through (0,5) and is parallel to the line whose equation is 4x-y=3
parallel lines have the same slope.
4x-y =3 is the equation of given line
The equation of line in slope intercept fprm is y= mx+c where m is the slope and c is the y intercept
Write in slope intercept form
y= 4x-3
comparing with y= mx+c
m=4
The line passes through (0,5) and slope 4
Use the point-slope form of a linear equation to find the equation of the new line:
y - y₁ = m(x - x₁) where m is the slope and (x1,y1) is the point
y-5=4x
y=4x+5
The equation of the line that is parallel to 4x - y = 3 and passing through (0, 5) in slope-intercept form is:
y = 4x + 5
Answer by math_tutor2020(3817)  (Show Source):
Answer by josgarithmetic(39620) (Show Source):
You can put this solution on YOUR website! If you know this well enough you can read the slope, 4, you need from the given equation, and the y-axis intercept, 5, is given in the included point.
Answer by MathTherapy(10555)  (Show Source):
You can put this solution on YOUR website!
write an equation in slope intercept form for the line that passes through (0,5) and is parallel to the line whose equation is 4x-y=3
4x - y = 3
4x - 3 = y, or y = 4x - 3
Slope (m) of 4x - y = 3, or y = 4x - 3, is 4.
Slope-intercept/Standard form of a linear equation: y = mx + b.
Equation requested is parallel to the given equation, 4x - y = 3, or y = 4x - 3, so its slope
(m) is also 4. The point the requested equation passes through, (0, 5) is the y-intercept of
the requested equation, or b in the slope-intercept/standard form of a a linear equation.
Therefore, requested equation is: y = 4x + 5.
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