Question

Which statement about the graph of y= 3x+5 is correct?

a. The line passes through the ordered pair (3, 0) and has a slope of 5.
b. The line passes through the ordered pair (0,5) and has a slope of 3.
c. The line passes through the ordered pair (5,20) and has a slope of 5/3
d. The line passes through the ordered pair (3, 14) and has a slope of 3/5

Answer 1

b. The line passes through the ordered pair (0,5) and has a slope of 3.

Explanation:

The equation given is in slope-intercept form.

`y= mx+b`

m = slope

b = y-intercept

The slope is 3 in the equation. 3 is in m's spot.

`y=\boxed{m}x+b\\\\y=\boxed{3}x+b`

The y-intercept is 5. This means that the line will pass through (0,5).

`y=mx+\boxed{b}\\\\y=3x+\boxed{5}`

The correct option should be B.

Hope this helps.