Question

Keep getting this wrong

Answer 1

Answer:

Y-intercept: (0, -3)

X-intercept: (-1.5, 0)

Step-by-step explanation:

y=-2x-3

y-intercept in y=mx+b is b, so it's -3

x-intercept is the value when y=0.

0=-2x-3

Add 3

3=-2x

Divide by -2

x=-1.5

Answer 2

Remember that the y-intercept is where the function has a value of $x = 0$ and the x-intercept is where the function has a value of $y = 0$. Thus, to find the x-intercept and y-intercept, we can substitute these values into the equation and solve for the other variable.

x-intercept

Since the x-intecept has a y-value of 0, we can substitute this into the function and solve for $x$.

$0 = -2x - 3$

• Set up

$3 = -2x$

• Add 3 to both sides

$x = - \dfrac{3}{2}$

• Divide both sides by -2

The x-value of the x-intercept is $-\frac{3}{2}$ and the y-value is 0, meaning that the x-intercept has coordinates $\boxed{(-\frac{3}{2}, 0)}$.

y-intercept

Since the y-intercept has a x-value of 0, we can substitute this into the equation and solve for $y$:

$y = -2(0) - 3$

• Set up

$y = -3$

• Multiply and simplify

The y-value of the y-intercept is -3, meaning that the y-intercept of the function is $\boxed{(0, -3)}$.