How do you the equation of the line that passes through point (-2, 3) and is parallel to the line formed by the equation y = 4x + 7?
First let's find the slope of the equation we are looking for. We know it is parallel to the given line and so will have the same slope. The given line is in slope-intercept form. The slope-intercept form of a linear equation is:
We can now use the point-slope formula to find the equation of the line we are looking for. The point-slope formula states:
Substituting the point from the problem and the slope we established gives:
Or, we can solve for