Questions: The equation of a line is given below. 3 x-2 y=-18 Find the x-intercept and the y-intercept. Then use them to graph the line. x-intercept: y-intercept:

The equation of a line is given below.
3 x-2 y=-18

Find the x-intercept and the y-intercept. Then use them to graph the line.
x-intercept:
y-intercept:

Transcript text: The equation of a line is given below. \[ 3 x-2 y=-18 \] Find the $x$-intercept and the $y$-intercept. Then use them to graph the line. $x$-intercept: $\square$ $y$-intercept:

Solution

Solution Steps

Step 1: Find the x-intercept

To find the $x$-intercept, set $y = 0$ in the equation and solve for $x$.

\[ 3x - 2(0) = -18 \implies 3x = -18 \implies x = -6 \]

The $x$-intercept is $(-6, 0)$.

Step 2: Find the y-intercept

To find the $y$-intercept, set $x = 0$ in the equation and solve for $y$.

\[ 3(0) - 2y = -18 \implies -2y = -18 \implies y = 9 \]

The $y$-intercept is $(0, 9)$.

Final Answer

$x$-intercept: $(-6, 0)$
$y$-intercept: $(0, 9)$

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["y = (3/2)x + 9"], "latex_expressions": ["$3x - 2y = -18$"]}

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