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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

Respuesta :

Answer:

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

Step-by-step explanation:

The equation given is in slope-intercept form.

[tex]y= mx+b[/tex]

m = slope

b = y-intercept

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

[tex]y=\boxed{m}x+b\\\\y=\boxed{3}x+b[/tex]

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

[tex]y=mx+\boxed{b}\\\\y=3x+\boxed{5}[/tex]

The correct option should be B.

Hope this helps.