QuestionThe equation of line $s$ is $y=\frac{7}{4} x+6$ . Line $t$ is parallel to line $s$ . What is the slope of line $t ?$
Simplify your answer and write it as a proper fraction, improper fraction, or integer. $\square$

Studdy Solution

STEP 1

1. The equation of line $s$ is given as $y = \frac{7}{4}x + 6$ .
2. Line $t$ is parallel to line $s$ .
3. We need to find the slope of line $t$ .

STEP 2

1. Identify the slope of line $s$ .
2. Use the property of parallel lines to determine the slope of line $t$ .

STEP 3

Identify the slope of line $s$ .
The equation of line $s$ is in the slope-intercept form $y = mx + b$ , where $m$ is the slope.
For line $s$ , $m = \frac{7}{4}$ .

STEP 4

Use the property of parallel lines to determine the slope of line $t$ .
Parallel lines have the same slope. Therefore, the slope of line $t$ is the same as the slope of line $s$ .
Thus, the slope of line $t$ is $\frac{7}{4}$ .
The slope of line $t$ is:
$\boxed{\frac{7}{4}}$

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