Question

find the slope, x - intercept, and y - intercept for the line $9x + 6y - 7 = 0$.
the slope is $-1.5$.
the $x$-intercept is $0.8$.
the $y$-intercept is $1.2$.
note: your answers must be decimals.
note: you can earn partial credit on this problem.
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Explanation:

Step1: Find the slope

The equation of a line in slope - intercept form is \(y = mx + b\), where \(m\) is the slope.
Starting with \(9x+6y - 7=0\), solve for \(y\):

$$
LATEXBLOCK0
$$

So the slope \(m=-1.5\) (already correct).

Step2: Find the \(x\) - intercept

The \(x\) - intercept occurs when \(y = 0\).
Substitute \(y = 0\) into \(9x+6y - 7=0\):

$$
LATEXBLOCK1
$$

Step3: Find the \(y\) - intercept

The \(y\) - intercept occurs when \(x = 0\).
Substitute \(x = 0\) into \(9x+6y - 7=0\):

$$
LATEXBLOCK2
$$

Answer:

The \(x\) - intercept is \(0.78\), the \(y\) - intercept is \(1.17\)