Choose the true statements.
O
A linear function is expressed by a graph of a line that
crosses both axes at the origin. An equation is written in
slope-intercept form to express the same function as
shown in the graph. From just this information, what
statements can be made?
The slope of the equation must be positive.
The y-intercept of the equation is zero.
It is possible that the line on the graph is horizontal.
The slope of the equation must be negative.
The description states that the line "crosses both axes at the origin." That would mean that the point (0,0) is on the graph. The y-intercept is the value of y when x=0. We see that it is zero in this case (0,0).
The description says nothing about the slope. So it could be either positive or negative. But it could also mean that the slope is zero. A zero slope would be a horizontal line. So that is a second statement that is true: "It is possible that the line on the graph is horizontal."
