Question

Determine the x- and y-intercepts of the graph of y=−12x−4 . Then plot the intercepts to graph the equation.

Answer 1

Answer:

X-Intercept: $\frac{4}{-12}$

Y-Intercept: -4

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

The X and Y intercepts show at what points the function values cross the X and Y axis. We can solve for the X-intercept by substituting the value of y for 0 and then solving for x. Like so...

$0=-12x-4$ .... add 4 on both sides

$4=-12x$ ... divide both sides by -12

$\frac{4}{-12}$ = -x

Now we can see that the X-Intercept is $\frac{4}{-12}$ . Now we substitute 0 for x and solve for the Y-intercept.

$y=-12(0)-4$

$y= -4$

Finally we can see that the Y-intercept is -4

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

Answer 2

X-intercept: -0.3
y-intercept: -4
slope -12