A graph is a straight line through the point (0, 5). Can the graph represent a proportional relationship? Explain. A.

Yes; the constant of proportionality is 5.
B.

Yes; the equation of the line can be written in the form y = kx, where k = 5.
C.

Yes; the graph is a straight line that crosses the y-axis at (0, 5).
D.

No; the graph of a proportional relationship must pass through (0, 0).

Write an equation of a line in slope intercept form that is perpendicular to the line 2x -3y = 12 and passes through the point (2, 6).

Liz had 140 pens and inna had 100 pens. after inna gave liz some pens, liz had 3 times as many pens as inna. how many pens did inna give liz?

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality