QuestionVid ( $\frac{1}{4}$ . The equation of line $a$ is $y=\frac{52}{67} x-24$ . Line $b$ is parallel to line $a$ . What is the slope of line $b$ ? (x) Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$ Submit Work it out Not feeling ready yet? These can help: Reciprocals Slope-intercept form: find the slope and $y$ -interce

Studdy Solution

STEP 1

1. Line $b$ is parallel to line $a$ .
2. Parallel lines have the same slope.
3. The equation of line $a$ is given in slope-intercept form as $y = \frac{52}{67}x - 24$ .

STEP 2

1. Identify the slope of line $a$ from its equation.
2. Determine the slope of line $b$ based on the parallel property.

STEP 3

Identify the slope of line $a$ from the equation $y = \frac{52}{67}x - 24$ .
The slope-intercept form of a line is $y = mx + b$ , where $m$ is the slope. For line $a$ , the slope $m$ is $\frac{52}{67}$ .

STEP 4

Since line $b$ is parallel to line $a$ , it has the same slope.
Therefore, the slope of line $b$ is also $\frac{52}{67}$ .
The slope of line $b$ is:
$\boxed{\frac{52}{67}}$

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