Parallel Line Equation
How to find the linear equation that is parallel to the given line: definition, 1 example, and its solution.
Parallel Lines are the lines that have the same slope
and have the different y-intercepts.
The triangle symbols are used
to show that the lines are parallel.
ExampleLine Parallel to y = 3x + 4
the line is parallel to y = 3x + 4.
So the slope of the line you're looking for is
m = 3.
The slope, m, is 3.
And the line passes through (1, -2).
So the linear equation in point-slope form is
y = 3(x - 1) - 2.
Change the linear equation to slope-intercept form.
Then y = 3x - 5.
y = 3x - 5
is the answer.
The left line is the given line y = 3x + 4.
And the right line is the answer y = 3x - 5.
y = 3x - 5 is parallel to y = 3x + 4.
And it passes through (1, -2).