How do you write the equation that represents the line perpendicular to y=-3x+ 4 and passing through the point (-1, 1)?
First, we need to determine the slope of the perpendicular line.
If the slope of a line is
Because the equation for the line we are given is already in slope-intercept form we can obtain the slope.
Slope-intercept form is
So, the slope of the line given is:
Now that we have the slope and a point we can use the point-slope formula to determine the equation for the perpendicular line.
The point-slope formula is:
To convert to slope-intercept form we can solve for