Question

The slope and a point on a line are given. Use the information to locate three additional points on the line.

Slope = -4; Point (-2,1)
Determine three points on the line with slope -4 and passing through (-2,1).

A. (5,-3),(-3,-1),(-7,0).

B. (2,0),(-6,2),(-10,3).

C. (-3,5),(-1,-3),(0,-7).

D. (0,2),(2,-6),(3,-10).

Please help me solve this question.

Answer 1

C

Explanation:

the typical form of line equation is

y = ax + b

a = the slope of the line (expressed as y/x ratio telling us how many units y changes when x changes a certain number of units).

b = the intercept on the y-axis (when x = 0).

we know, a = -4

and we use the point (x = -2, y = 1) to get b

y = -4x + b

1 = -4×-2 + b = 8 + b

b = -7

=>

y = -4x - 7

only the points of option C are all fulfilling this equation.

e.g. x = 0, y = -7

-7 = -4×0 - 7 = -7, true, -7 = -7

and so on.

Answer 2

C is the right answer , the equation of the line y=-4x-7