Question

what is the value of the slope and the y-intercept for the equation $y = 15x - 13$?
the slope is 15 and the y-intercept is 13.
the slope is -13 and the y-intercept is 15.
the slope is -13 and the y-intercept is -15.
the slope is 15 and the y-intercept is -13.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept.

Step2: Compare with given equation

The given equation is $y=15x - 13$. Comparing it with $y = mx + b$, we can see that $m = 15$ (the coefficient of $x$) and $b=- 13$ (the constant term).

Answer:

The slope is 15 and the y - intercept is - 13. (Corresponding to the option: The slope is 15 and the y - intercept is - 13)