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Question 402572: what is the slope-intercept form for: through (4,5), parallel to y=3/4x-5
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! "what is the slope-intercept form for: through (4,5), parallel to y=3/4x-5"
Parallel lines have equal slopes.
Slope-Intercept form is y = mx + b
m is the slope
b is the y-intercept
In the equation: y = 3/4x - 5
the slope is 3/4
The line parallel to it would also have a slope of 3/4
(4,5), m = 3/4
y = mx + b {using slope-intercept form to get the y-intercept}
5 = 3/4(4) + b {substituted everything given, into slope-intercept form}
5 = 3 + b {multiplied 3/4 by 4}
b = 2 {subtracted 2 from both sides}
slope is 3/4
y-intercept is 2
y = 3/4x + 2 is the equation of the line, in slope-intercept form, passing through (4,5) and parallel to y = 3/4x - 5
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