Question

Which equation represents a line that passes through the two points in thetable?Xу1156O A. y-1-(x-1)O B. y+1-(x+1)O c. 5-6-(x-5OD. y+6=x+5)

Answer 1

Option A.

Explanation:

The equation of a line has the following format:

y - y0 = a(x - x0).

In which (x0,y0) is the initial point.

a is the slope.

To find the slope, we need another point (xf,yf). And the slope is:

a = (yf-y0)/(xf-x0)

In this question:

(1,1) and (5,6)

(1,1) is the initial point. So x0 = 1, y0 = 1.

(5,6) is another point. So x0 = 5, y0 = 6.

So the slope is: a = (6-1)/(5-1) = 5/4

And the equation is:

y - 1 = (5/4)*(x-1)

The correct answer is: Option A.