Question

y = mx + b

"m" is the slope

"b" is the y-intercept

Which statement(s) correctly describe y-intercepts? Check all that apply.

A The y-intercept of a function is the point where the line intersects the y-axis.

B The y-intercept of a function is the point at which x = 0.

C The y-value of the y-intercept is the same as the starting value, b.

D The y-intercept of a function is always 0.

E The y-intercept of a function is always positive.

F The y-intercept of a function is always negative.

G The y-intercept of a function is the point at which y = 0.

Answer 1

The correct statements that describe y-intercepts are:

A. The y-intercept of a function is the point where the line intersects the y-axis.

B. The y-intercept of a function is the point at which x = 0.

C. The y-value of the y-intercept is the same as the starting value, b.

The incorrect statements are:

D. The y-intercept of a function is always 0. (This is false; the y-intercept is b and can be any real number.)

E. The y-intercept of a function is always positive. (This is false; the y-intercept can be positive, negative, or zero.)

F. The y-intercept of a function is always negative. (This is false; the y-intercept can be positive, negative, or zero.)

G. The y-intercept of a function is the point at which y = 0. (This is false; the y-intercept is the point where the line crosses the y-axis, which is when x = 0, not y = 0.)

So the statements A, B, and C are the correct descriptions of y-intercepts.