Question

4.
Find the x- and y-intercept of the line.
2x + 3y = -18

Answer 1

Hi there!

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I believe your answer is:

X - Intercept: (-9, 0)

Y - Intercept: (0, -6)

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Here’s why:

The x and y-intercepts of a line is where a given function intercepts the x or y axes.

I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).

Therefore:

`\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.`

See the graph attached below!

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Another way to solve this problem is to do this algebraically.

`\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow(2x=-18)/(2)\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}`

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`\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow(3y=-18)/(3) \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}`

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Hope this helps you. I apologize if it’s incorrect.