What is the slope of the line? 3(y-1)=2x+2 Choose 1 answer: (A) (2)/(3) (B) (1)/(3) (C) (5)/(3) (D) (4)/(3)

Distribute the 3: Distribute the 3 on the left side of the equation to both terms inside the parentheses. 3(y - 1) = 2x + 2 3 * y - 3 * 1 = 2x + 2 3y - 3 = 2x + 2Rearrange to slope-intercept form: Rearrange the equation to the slope-intercept form, which is y = mx + b, where m is the slope. 3y - 3 = 2x + 2 First, add 3 to both sides to isolate the y-term on one side. 3y - 3 + 3 = 2x + 2 + 3 3y = 2x + 5Divide all terms to solve for y: Divide all terms by 3 to solve for y. 3y / 3 = (2x + 5) / 3 y = (2/3)x + 5/3Identify the slope: Identify the slope from the equation y = (2/3)x + 5/3. The coefficient of x is the slope of the line. So, the slope m = 2/3.

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What is the slope of the line?

3(y-1)=2x+2
Choose 1 answer:
(A)
(2)/(3)
(B)
(1)/(3)
(C)
(5)/(3)
(D)
(4)/(3)

What is the slope of the line? $\newline$ $3(y-1)=2x+2$ $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{2}{3}$ $\newline$ (B) $\frac{1}{3}$ $\newline$ (C) $\frac{5}{3}$ $\newline$ (D) $\frac{4}{3}$

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Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. What is the slope of the line?

\newline

3(y-1)=2x+2

\newline

Choose

1

answer:

\newline

(A)

\frac{2}{3}

\newline

(B)

\frac{1}{3}

\newline

(C)

\frac{5}{3}

\newline

(D)

\frac{4}{3}

Distribute the $3$ : Distribute the $3$ on the left side of the equation to both terms inside the parentheses. $3(y - 1) = 2x + 2$ $3 \cdot y - 3 \cdot 1 = 2x + 2$ $3y - 3 = 2x + 2$
Rearrange to slope-intercept form: Rearrange the equation to the slope-intercept form, which is $y = mx + b$ , where $m$ is the slope. $\newline$ $3y - 3 = 2x + 2$ $\newline$ First, add $3$ to both sides to isolate the y-term on one side. $\newline$ $3y - 3 + 3 = 2x + 2 + 3$ $\newline$ $3y = 2x + 5$
Divide all terms to solve for y: Divide all terms by $3$ to solve for $y$ . $\newline$ $\frac{3y}{3} = \frac{(2x + 5)}{3}$ $\newline$ $y = \frac{2}{3}x + \frac{5}{3}$
Identify the slope: Identify the slope from the equation $y = \frac{2}{3}x + \frac{5}{3}$ . $\newline$ The coefficient of $x$ is the slope of the line. $\newline$ So, the slope $m = \frac{2}{3}$ .