Question 548263: How do I write the standard form of the equation of the line:
through: (4,4) parallel to y = 1/4x - 5 Answer by Maths68(1474) (Show Source):
You can put this solution on YOUR website! Given
Point (x, y)=(4,4)
Line:
y=1/4(x)-5
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Compare given equation with Equation of line standard form (y=mx+b)
m=1/4
b=-5
Slope of the given line m = 1/4 and y-intercept = b = -5
Since given line is parallel to the required line; slopes of the both line will be same.
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Now we have a point (4,4) and slope (1/4) of the required line we can easily find the required line by putting these values in the equation of slope-intercept form to find the y-intercept of the required line
y=mx+b
4=(1/4)(4)+b
4=4/4+b
4=1+b
4-1=b
3=b
b=3
y-intercept of the required line =b=3
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Put the values of ‘m’ and ‘b’ in equation of the line slope-intercept form
y=mx+b
y=(x/4)+3
Above equation is the required equation of the line in slope-intercept form.
Graph
Given line = y = x/4 - 5 (Red line)
Required line = y = x/4 +3 (Green line)
