Math / Algebra

QuestionRewrite the equation in slopeintercept form. Then find the slope and $y$ -intercept.
6. $3 x-5 y=-20$
Equation: $\qquad$ $\mathrm{m}=$ $\qquad$ $b=$ $\qquad$

Studdy Solution

STEP 1

1. The given equation is linear and can be rewritten in slope-intercept form.
2. Slope-intercept form is written as $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.

STEP 2

1. Rearrange the given equation to solve for $y$ .
2. Identify the slope $m$ and y-intercept $b$ from the rearranged equation.

STEP 3

Start with the given equation:
$3x - 5y = -20$
To solve for $y$ , first isolate the $y$ -term by subtracting $3x$ from both sides:
$-5y = -3x - 20$

STEP 4

Divide every term by $-5$ to solve for $y$ :
$y = \frac{3}{5}x + 4$
Now, the equation is in slope-intercept form $y = mx + b$ .

STEP 5

Identify the slope $m$ and y-intercept $b$ from the equation $y = \frac{3}{5}x + 4$ :
$m = \frac{3}{5}$
$b = 4$
The equation in slope-intercept form is:
$y = \frac{3}{5}x + 4$
The slope $m$ is:
$\frac{3}{5}$
The y-intercept $b$ is:
$4$

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QuestionRewrite the equation in slopeintercept form. Then find the slope and $y$ -intercept.
6. $3 x-5 y=-20$
Equation: $\qquad$ $\mathrm{m}=$ $\qquad$ $b=$ $\qquad$

Studdy Solution

STEP 1

1. The given equation is linear and can be rewritten in slope-intercept form.
2. Slope-intercept form is written as $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.

STEP 2

1. Rearrange the given equation to solve for $y$ .
2. Identify the slope $m$ and y-intercept $b$ from the rearranged equation.

STEP 3

Start with the given equation:
$3x - 5y = -20$
To solve for $y$ , first isolate the $y$ -term by subtracting $3x$ from both sides:
$-5y = -3x - 20$

STEP 4

Divide every term by $-5$ to solve for $y$ :
$y = \frac{3}{5}x + 4$
Now, the equation is in slope-intercept form $y = mx + b$ .

STEP 5

Identify the slope $m$ and y-intercept $b$ from the equation $y = \frac{3}{5}x + 4$ :
$m = \frac{3}{5}$
$b = 4$
The equation in slope-intercept form is:
$y = \frac{3}{5}x + 4$
The slope $m$ is:
$\frac{3}{5}$
The y-intercept $b$ is:
$4$

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QuestionRewrite the equation in slopeintercept form. Then find the slope and yyy-intercept.6. 3x−5y=−203 x-5 y=-203x−5y=−20Equation: \qquad m=\mathrm{m}=m= \qquad b=b=b= \qquad

Studdy Solution

STEP 1

1. The given equation is linear and can be rewritten in slope-intercept form.2. Slope-intercept form is written as y=mx+b y = mx + b y=mx+b, where m m m is the slope and b b b is the y-intercept.

STEP 2

1. Rearrange the given equation to solve for y y y.2. Identify the slope m m m and y-intercept b b b from the rearranged equation.

STEP 3

Start with the given equation:3x−5y=−20 3x - 5y = -20 3x−5y=−20To solve for y y y, first isolate the y y y-term by subtracting 3x 3x 3x from both sides:−5y=−3x−20 -5y = -3x - 20 −5y=−3x−20

STEP 4

Divide every term by −5-5−5 to solve for y y y:y=35x+4 y = \frac{3}{5}x + 4 y=53​x+4Now, the equation is in slope-intercept form y=mx+b y = mx + b y=mx+b.

STEP 5

Identify the slope m m m and y-intercept b b b from the equation y=35x+4 y = \frac{3}{5}x + 4 y=53​x+4:m=35 m = \frac{3}{5} m=53​b=4 b = 4 b=4The equation in slope-intercept form is:y=35x+4 y = \frac{3}{5}x + 4 y=53​x+4The slope m m m is:35 \frac{3}{5} 53​The y-intercept b b b is:4 4 4

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QuestionRewrite the equation in slopeintercept form. Then find the slope and $y$ -intercept.
6. $3 x-5 y=-20$
Equation: $\qquad$ $\mathrm{m}=$ $\qquad$ $b=$ $\qquad$

1. The given equation is linear and can be rewritten in slope-intercept form.
2. Slope-intercept form is written as $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.

1. Rearrange the given equation to solve for $y$ .
2. Identify the slope $m$ and y-intercept $b$ from the rearranged equation.

Start with the given equation:
$3x - 5y = -20$
To solve for $y$ , first isolate the $y$ -term by subtracting $3x$ from both sides:
$-5y = -3x - 20$

Divide every term by $-5$ to solve for $y$ :
$y = \frac{3}{5}x + 4$
Now, the equation is in slope-intercept form $y = mx + b$ .

Identify the slope $m$ and y-intercept $b$ from the equation $y = \frac{3}{5}x + 4$ :
$m = \frac{3}{5}$
$b = 4$
The equation in slope-intercept form is:
$y = \frac{3}{5}x + 4$
The slope $m$ is:
$\frac{3}{5}$
The y-intercept $b$ is:
$4$