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

Rewriting equation in slope-intercept form: To find the slope of the line, 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.Distributing the -2: We start by distributing the -2 across the parentheses in the equation y+2=-2(x-3). y + 2 = -2 * x + (-2) * (-3) y + 2 = -2x + 6Isolating y: Next, we isolate y by subtracting 2 from both sides of the equation. y + 2 - 2 = -2x + 6 - 2 y = -2x + 4Identifying the slope: Now that the equation is in slope-intercept form, we can identify the slope, which is the coefficient of x. The slope m = -2.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the slope of the line?

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

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

View step-by-step help

Home

Math Problems

Algebra 1

Solve advanced linear inequalities

Full solution

Q. What is the slope of the line?

\newline

y+2=-2(x-3)

\newline

Choose

1

answer:

\newline

(A)

-1

\newline

(B)

-2

\newline

(C)

1

\newline

(D)

-\frac{1}{2}

Rewriting equation in slope-intercept form: To find the slope of the line, 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.
Distributing the $-2$ : We start by distributing the $-2$ across the parentheses in the equation $y+2=-2(x-3)$ . $\newline$ $y + 2 = -2 \times x + (-2) \times (-3)$ $\newline$ $y + 2 = -2x + 6$
Isolating y: Next, we isolate y by subtracting $2$ from both sides of the equation. $y + 2 - 2 = -2x + 6 - 2$ $y = -2x + 4$
Identifying the slope: Now that the equation is in slope-intercept form, we can identify the slope, which is the coefficient of $x$ . $\newline$ The slope $m = -2$ .