Hello!
The slope-intercept form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.
Parallel lines have the same slope. m = -2 in y = -2x + 3, so the equation of the line will have a slope of -2.
A point on the line is (2, 3); plug this (x, y) coordinate into y = -2x + b to find the y-intercept.
y = -2x + b
3 = -2(2) + b
3 = -4 + b
7 = b
The y-intercept is 7. Plug the slope and y-intercept to get the final equation.
Answer:
y = -2x + 7