Answer:
Third choice: The line passes through (0, 13)
Step-by-step explanation:
The equation of a line in slope-intercept form is
where m is the slope and b is the y-intercept (the point where the line intersects the y-axis)
Therefore, for our equation
The slope is -4 and the y-intercept is 13.
With this knowledge in mind, let us go through each of the answer choices one by one:
First choice: The line has a slope of -13.
Our line actually has a slope of - 4; therefore, this is not a correct choice.
Second choice: The line has a slope of 4.
No, the line has a slope of - 4.
Third Choice: The line passes through the point (0, 13)
The y-intercept of the line is 13, meaning when x = 0, y = 13; therefore, this is a correct choice. This can be confirmed by substituting x = 0 into the equation given.
Fourth choice: The line passes through the point (0, 4).
When x = 0, y = 13 NOT 4; therefore, the line does not pass through this point.