Answer:
The numbers appear random, not as valid points. I'll develop the equation for the line. That can be used to determine which points lie on the line.
y = -4x - 3
Explanation:
The slope-intercept form of a straight line equation is y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0)
We are given the slope (m = -5)
We can write y = -5x + b
To find b, enter the given data point and solve for b:
y = -5x + b for (-2,7)
7 = -5*(-2) + b
b = -3
The equation is y = -5x - 3
Use this equation to determine which points are valid. E.g. enter 0 for x and see if y matches the answer option.
The value of a for point (a, 2):
y = -5x - 3
2 = -5a - 3
5 = -5a
a = -1