Math  /  Algebra

QuestionFind the slope and y-intercept of the equation y=35x7.\text{Find the slope and } y\text{-intercept of the equation } y = \frac{3}{5} x - 7.

Studdy Solution

STEP 1

1. The equation y=35x7 y = \frac{3}{5} x - 7 is in the slope-intercept form y=mx+b y = mx + b .
2. In the slope-intercept form, m m represents the slope of the line.
3. In the slope-intercept form, b b represents the y-intercept of the line.

STEP 2

1. Identify the slope m m from the given equation.
2. Identify the y-intercept b b from the given equation.

STEP 3

Identify the slope m m from the given equation y=35x7 y = \frac{3}{5} x - 7 .
From the equation y=mx+b y = mx + b , the slope m m is:
m=35m = \frac{3}{5}

STEP 4

Identify the y-intercept b b from the given equation y=35x7 y = \frac{3}{5} x - 7 .
From the equation y=mx+b y = mx + b , the y-intercept b b is:
b=7b = -7
Final Solution: The slope of the line is 35 \frac{3}{5} and the y-intercept is 7 -7 .

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