Question

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

Answer 1

False

Explanation:

The equation in slope-intercept form of a line is y=mx+b, where x and y can represent a point on the line by using the coordinates (x,y), m is the slope, and b is the y intercept.

To double check this equation, plug in the coordinates of the point (3,6) to make sure both sides of the equation equal to each other.

6 = -5(3) + 7

6 = -15 + 7

6 = -8

`6 \\eq -8`

Because the equation is invalid, the line does not pass through these points.