The equation which can pass through (5,5) and be parallel to y=2x-1 is
[tex]y=2x-5[/tex]
Step-by-step explanation:
Given
y=2x-1
The given equation is in slope-intercept form. In slope-intercept form, the co-efficient of x gives the slope of the line. So the slope is 2
The slopes of parallel lines are equal so the slope of required line will also be.
The general form of slope-intercept form is:
[tex]y=mx+b[/tex]
Putting the value of slope
[tex]y=2x+b[/tex]
To find the value of b, Putting (5,5) in the equation
[tex]5=2(5)+b\\5=10+b\\b=5-10\\b=-5[/tex]
Putting the values of b and m in general form:
[tex]y=2x-5[/tex]
The equation which can pass through (5,5) and be parallel to y=2x-1 is
[tex]y=2x-5[/tex]
Keywords: Equation of line
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