Question

1. Which equation represents the line that passes through the point (-2.4,-7.1)

and has a slope of -5.3?
A.y-7.1=-5.3(x-2.4)
B. y + 2.4 = -5.3(x + 7.1)
C. y +7.1=-5.3(x+2.4)
D.y-2.4 =-5.3(x-7.1)
Can someone please help me I don’t really understand this topic very well I would really appreciate it !!

Answer 1

They all have the required slope. The only question is which equation is satisfied by (-2.4, -7.1)

In A is -7.1 - 7.1 = -5.3(-2.4 - 2.4) = -5.3 x -4.8 = 25.44? No
In B is -7.1 + 2.4 = -5.3(-2.4 + 7.1) = -5.3 x 4.7 = -24.91? No
In C is -7.1 + 7.1 = -5.3(-2.4 + 2.4) = -5.3 x 0 = 0? Yes.
In D is -7.1 - 2.4 = -5.3(-2.4 - 7.1) = -5.3 x -9.5 = 50.35? No
The only equation describing a line passing through the required point is C