Question

Which equation describes this line

Answer 1

y - 10 = 2(x - 1).

Explanation:

The slope of the line = (10-2)/(1 - -3)

= 8/4

= 2.

Using the point (-3, 2) and the point-slope form of the straight line;

Y - Y1 = M(X - X1) we have

y - 2 = 2(x - -3)

y - 2 = 2(x + 3)

This is not one of the choices so we use the other point (1,10)

y - 10 = 2(x - 1).

Note that the 2 equations are the same - if we write them in a different form we get y = 2x + 8 in each case.

Answer 2

y-10=2(x-1)

Explanation:

eq. of a line through (x1,y1) and (x2,y2) is

`y-2=(10-2)/(1+3)(x+3)\\or~y-2=2(x+3)\\or~ y-10=(2-10)/(-3-1)(x-1) \\or~y-10=2(x-1)`