Find the equation of the line passing through the point (2, -4) that is parallel to the line y=3x+2

Answer (assuming it can be put in point-slope format):

Step-by-step explanation:

You can write an equation of a line when knowing its slope and a line it passes through using point slope formula, .

1) First, find the slope of the equation. We know it has to be parallel to y = 3x + 2. Lines that are parallel have the same slope, thus the slope of y = 3x + 2 is the slope of the answer as well. y = 3x + 2 is in slope-intercept format, or . The coefficient of the x term, or , represents the slope - so, the slope must be 3.

2) Now, use point-slope formula,,  to write the equation. Substitute , , and for real values.

The represents the slope, so substitute 3 for . The and represent the x and y values of a point the line crosses through. The line crosses through (2, -4), so substitute 2 for and -4 for . This gives the following

step-by-step explanation: