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

Rewriting the equation: First, we need to rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. y + 2 = -2(x - 3)Distributing the -2: Now, distribute the -2 to both terms inside the parentheses. y + 2 = -2x + 6Isolating y: Next, we subtract 2 from both sides to isolate y on one side of the equation. y = -2x + 6 - 2Combining constant terms: Combine the constant terms on the right side of the equation. y = -2x + 4Identifying the slope: Now that the equation is in slope-intercept form, we can identify the slope directly from the equation. The coefficient of x is the slope of the line. The slope of the line is -2.

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What is the slope of the line?

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

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

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Math Problems

Algebra 1

Solve linear equations: mixed review

Full solution

Q. What is the slope of the line?

\newline

y+2=-2(x-3)

\newline

Choose

1

answer:

\newline

(A)

-2

\newline

(B)

-1

\newline

(C)

1

\newline

(D)

-\frac{1}{2}

Rewriting the equation: First, we need to rewrite the equation in slope-intercept form, which is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept. $\newline$ $y + 2 = -2(x - 3)$
Distributing the $-2$ : Now, distribute the $-2$ to both terms inside the parentheses. $\newline$ $y + 2 = -2x + 6$
Isolating y: Next, we subtract $2$ from both sides to isolate $y$ on one side of the equation. $\newline$ $y = -2x + 6 - 2$
Combining constant terms: Combine the constant terms on the right side of the equation. $\newline$ $y = -2x + 4$
Identifying the slope: Now that the equation is in slope-intercept form, we can identify the slope directly from the equation. The coefficient of $x$ is the slope of the line. $\newline$ The slope of the line is $-2$ .