True or False: y=-5x+7 is the equation of a line that passes through (3,6) and has a slope of -5

Question



Answer 1

The slope is indeed -5 but the line does not pass through (3, 6).

To check if a point (x, y) is on a line, substitute the values of x and y into the equation of the line and check for equality.

Here, x = 3, y = 6, and the equation is y = -5x + 7

We need to check if 6 = -5(3) + 7,

that is 6 = -15 + 7

that is 6 - -8

Since this is false, the point (3, 6) does not lie on the line y = -5x + 7

Answer 2

False; This is because if you input the 3 (the x-coordinate), you see that the resulting y-coordinate is -8 (-15+7). Therefore, it is false that the line passes through with this equation.