Math / Algebra

QuestionDetermine the slope and $y$ -intercept. $\quad y=3 / 2 x+3$

Studdy Solution

STEP 1

1. The given equation is in the form $y = \frac{3}{2}x + 3$ .
2. The equation is linear and can be compared to the slope-intercept form $y = mx + b$ , where $m$ is the slope and $b$ is the $y$ -intercept.
3. Identification of the slope and $y$ -intercept requires matching coefficients from the given equation to the standard form.

STEP 2

1. Compare the given equation with the slope-intercept form to identify the slope.
2. Identify the $y$ -intercept from the given equation.

STEP 3

The given equation is $y = \frac{3}{2}x + 3$ .
First, compare this equation to the slope-intercept form $y = mx + b$ .

STEP 4

From the comparison, identify the slope $m$ .
$m = \frac{3}{2}$

STEP 5

Identify the $y$ -intercept $b$ .
$b = 3$

STEP 6

Thus, the slope is $\frac{3}{2}$ and the $y$ -intercept is $3$ .

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QuestionDetermine the slope and $y$ -intercept. $\quad y=3 / 2 x+3$

Studdy Solution

STEP 1

STEP 2

1. Compare the given equation with the slope-intercept form to identify the slope.
2. Identify the $y$ -intercept from the given equation.

STEP 3

The given equation is $y = \frac{3}{2}x + 3$ .
First, compare this equation to the slope-intercept form $y = mx + b$ .

STEP 4

From the comparison, identify the slope $m$ .
$m = \frac{3}{2}$

STEP 5

Identify the $y$ -intercept $b$ .
$b = 3$

STEP 6

Thus, the slope is $\frac{3}{2}$ and the $y$ -intercept is $3$ .

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QuestionDetermine the slope and yyy-intercept. y=3/2x+3\quad y=3 / 2 x+3y=3/2x+3

Studdy Solution

STEP 1

STEP 2

1. Compare the given equation with the slope-intercept form to identify the slope.2. Identify the y y y-intercept from the given equation.

STEP 3

The given equation is y=32x+3 y = \frac{3}{2}x + 3 y=23​x+3. First, compare this equation to the slope-intercept form y=mx+b y = mx + b y=mx+b.

STEP 4

From the comparison, identify the slope m m m.m=32 m = \frac{3}{2} m=23​

STEP 5

Identify the y y y-intercept b b b.b=3 b = 3 b=3

STEP 6

Thus, the slope is 32 \frac{3}{2} 23​ and the y y y-intercept is 3 3 3.

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QuestionDetermine the slope and $y$ -intercept. $\quad y=3 / 2 x+3$

1. Compare the given equation with the slope-intercept form to identify the slope.
2. Identify the $y$ -intercept from the given equation.

The given equation is $y = \frac{3}{2}x + 3$ .
First, compare this equation to the slope-intercept form $y = mx + b$ .

From the comparison, identify the slope $m$ .
$m = \frac{3}{2}$

Identify the $y$ -intercept $b$ .
$b = 3$

Thus, the slope is $\frac{3}{2}$ and the $y$ -intercept is $3$ .