
Concept explainers
Write equation in slope-intercept form for the line described.

Answer to Problem 51SR
Explanation of Solution
Given information:
Write equation in slope-intercept form for the line described.
Passes through
Calculation:
Point- slope form:
The point −slope form of the equation of a line is
Parallel lines:
Two nonvertical lines are parallel if and only if they have the same slope all vertical lines are parallel.
Consider the following set of condition;
Pass through
First find the slope of the line.
Here, the slope of the line is
Since lines that are parallel have the same slope, so the slope of the line parallel to given line is
Now, use the point-slope form and ordered pair
Apply distributive property and simplify;
Hence, the equation of line is
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