Question

Line A has equation y = -4x + 1 and line B contains the points (-2,1) and (1,-11). Select any statement(s) below that are true.

Line B has a slope of -5.


Line A has a slope of -4.


Line A and line B have the same slope.


Line B has a flatter slope than line A.


Line A has a flatter slope than line B.

Answer 1

Line A has a slope of -4

Line A and line B have the same slope

Explanation:

Line A is in the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. As we can see, -4 is m in line A so -4 is the slope of line A.

If we have two points on a line, we can find the slope using the slope formula

`m = (y_(2)-y_(1) )/(x_(2)-x_(1) )`, where x1 and y1 are one of the points and x2 and y2 come from the other point.

Thus, if we allow (-2, 1) to be x1 and y1 and (1, -11) to be x2 and y2,

`m=(-11-1)/(1-(-2))\\ m=-4`

Since the slope of Line B is -4, it has the same slope as line A