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What is the slope of the line?

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

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

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Multiplication with rational exponents

Full solution

Q. What is the slope of the line?

\newline

y+1=3(x-4)

\newline

Choose

1

answer:

\newline

(A)

\frac{1}{3}

\newline

(B)

-\frac{4}{3}

\newline

(C)

-\frac{3}{4}

\newline

(D)

3

Isolate $y$ in equation: Rewrite the equation in slope-intercept form ( $y = mx + b$ ), where $m$ is the slope. Start by isolating $y$ on one side of the equation. $\newline$ $y + 1 = 3(x - 4)$ $\newline$ $y = 3(x - 4) - 1$
Simplify by distributing: Simplify the equation by distributing and combining like terms. $\newline$ $y = 3x - 12 - 1$ $\newline$ $y = 3x - 13$
Identify the slope: Identify the slope $m$ from the simplified equation $y = 3x - 13$ . $\newline$ The coefficient of $x$ is the slope, which is $3$ .

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