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1 vote
Keep getting this wrong

Keep getting this wrong-example-1
asked
User Whmkr
by
7.5k points

2 Answers

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Answer:

Y-intercept: (0, -3)

X-intercept: (-1.5, 0)

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

answered
User Rugal
by
8.9k points
4 votes

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 = - (3)/(2)

  • Divide both sides by -2

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

answered
User Attila Karoly
by
8.7k points

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