Answer:
B
Step-by-step explanation:
Let's create an equation in point-slope form, which is: [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1,y_1)[/tex] is the point and m is the slope.
Here, our point is (-2, 7) and our slope is m = -5 so plug these in:
[tex]y -7=-5*(x-(-2))[/tex]
[tex]y -7=-5*(x+2)[/tex]
Now, if (a, 2) lies on this line, then it should satisfy the equation. So plug in a for x and 2 for y:
2 - 7 = -5(a + 2)
-5 = -5(a + 2)
Divide by -5:
1 = a + 2
Subtract 2 from both sides:
a = -1
Thus, the answer is B.
Hope this helps!
