A line passes through the point (–2, 7) and has a slope of –5. What is the value of a if the point (a, 2) is also on the line?A.–7B.–1C.1D.7
Accepted Solution
A:
Answer:BStep-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 + 2Subtract 2 from both sides:a = -1Thus, the answer is B.Hope this helps!