QuestionFind the equation of a line parallel to that goes through the point .
Studdy Solution
STEP 1
Assumptions1. The given line has the equation . The line we want to find is parallel to the given line3. The line we want to find passes through the point 4. The slope of a line parallel to a given line is the same as the slope of the given line
STEP 2
First, we need to find the slope of the given line. The slope of a line in the form is .
STEP 3
Since the line we want to find is parallel to the given line, its slope is also .
STEP 4
The equation of a line in slope-intercept form is . We know the slope and a point on the line, so we can use the point-slope form of the equation of a line to find the equation of the line we want to find.
STEP 5
Plug in the values for , , and to find the equation of the line.
STEP 6
istribute the on the right side of the equation.
STEP 7
Add2 to both sides of the equation to solve for .
STEP 8
implify the right side of the equation.
The equation of the line parallel to that passes through is .
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