The equation of a line that is parallel to the line whose equation is 4x+3y=7 and also passes through the point (-6,2) is:
Step-by-step explanation:
Given equation of line is:
We have to convert the given line in slope-intercept form to find the slope of the line
So, Subtracting 4x from both sides
Dividing both sides by 3
The co-efficient of x is the slope of the line.
Let m1 be the slope of given line
As the line is parallel to given line, slope of both lines will be equal
Let m be the slope of line parallel to given line
m =
The slope-intercept form is:
Putting the value of slope
Putting the point (-6,2) in the equation
Putting the value of b
Hence,
The equation of a line that is parallel to the line whose equation is 4x+3y=7 and also passes through the point (-6,2) is:
Keywords: Equation of line, slope
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