Write the equation of the line that goes through (2,3) and is parallel to the graph of y=-2x+3

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.

y = -2x + 7

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.