Question

The equation of a line is 5x+10y=15
.
Which of the following points lies on the line?


The slope of the line is
.

The line has an
-intercept of
.

Answer 1

First put the equation in slope-intercept form:
10y = 15 − 5x → y = 1.5 − 0.5x = 3/2 − (1/2)x.

Which point lies on the line? (3, 0) does, since 5(3)+10(0)=15.
(Since x=0 gives y=3/2, the point (0,3/2) also lies on the line.)

The slope is −1/2.

The line has an x-intercept of 3 (and a y-intercept of 3/2).