Question

Which equation represents the line passing through the points (2, −2) and (−5, 12)?

2x − y = 2

2x + y = 2

x + 2y = 2

x − 2y = 2

Answer 1

Which equation represents the line passing through the points (2, −2) and (−5, 12)?

The equation of a line is given by: y=mx+c

m = gradient or slope == change in y/change in x

c = y_intercept (where the line crosses x = 0)

First calcualte the gradient

m= (12--2)/(-5-2) = 14/-7= -2

Step 2:

Now find the y-intercept:
We use the point (−5, 12)

12 = (-2*−5)+b
12 = 10+b
b= 12-10 = 2

equation is for the line is:
y= -2x+2

Answer 2

so is it A? @twicker