Write an equation of the line (in slope-intercept form) that is parallel to the line y = 3x + 6 and goes through point (4,-3)

Answer 1

Parallel lines have the same slope.

The slope of the line with equation y = 3x + 6 is 3.

So, the desired line has slope 3.

Equation: y - (-3) = 3(x - 4)

y + 3 = 3x - 12

y = 3x - 15

Answer 2

Use point-slope form from Algebra 1

(y + 3) = 3(x - 4)