Choose the graph below that correctly represents the equation 3x + 9y = −18. (5 points) the line through the points negative 6 comma 0 and 0 comma 2
the line through the points negative 6 comma 0 and 0 comma negative 2
the line through the points negative 2 comma 0 and 0 comma 6
the line through the points negative 2 comma 0 and 0 comma negative 6

the line through the points negative 6 comma 0 and 0 comma negative 2

Step-by-step explanation:

Rewrite the equation to something you are familiar with such as the slope intercept form; y = mx + b. This means you need to solve for y.

3x + 9y = -18 --- divide everything by 3.

x + 3y = -6

3y = -6 - x

y = -2 - 1/3x

your slope is -1/3 and your y intercept is - 2.

remember, y-intercept is when x = 0. therefore, when x = 0, y = -2.

write as an ordered pair (0, -2). the only option that has (0, -2) is the second one.

Therefore, the line through the points negative 6 comma 0 and 0 comma negative 2.

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step-by-step explanation: