What is the slope of the line? -4x+7=2y-3 Choose 1 answer: (A) -2 (B) -(1)/(3) (C) -3 (D) -(1)/(2)

Rewrite equation in slope-intercept form: Rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. -4x + 7 = 2y - 3Add constant term to both sides: Add 3 to both sides of the equation to move the constant term on the right side to the left side. -4x + 7 + 3 = 2y - 3 + 3 -4x + 10 = 2yDivide both sides by 2: Divide both sides of the equation by 2 to solve for y and to find the coefficient of x, which represents the slope. (-4x + 10) / 2 = 2y / 2 -2x + 5 = yIdentify slope of the line: Identify the slope of the line from the coefficient of x in the equation y = -2x + 5. The slope (m) is -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?

-4x+7=2y-3
Choose 1 answer:
(A) -2
(B)
-(1)/(3)
(C) -3
(D)
-(1)/(2)

What is the slope of the line? $\newline$ $-4x+7=2y-3$ $\newline$ Choose $1$ answer: $\newline$ (A) $-2$ $\newline$ (B) $-\frac{1}{3}$ $\newline$ (C) $-3$ $\newline$ (D) $-\frac{1}{2}$

View step-by-step help

Home

Math Problems

Grade 8

Solve multi-step equations with fractional coefficients

Full solution

Q. What is the slope of the line?

\newline

-4x+7=2y-3

\newline

Choose

1

answer:

\newline

(A)

-2

\newline

(B)

-\frac{1}{3}

\newline

(C)

-3

\newline

(D)

-\frac{1}{2}

Rewrite equation in slope-intercept form: Rewrite the equation in slope-intercept form, which is $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept. $\newline$ $-4x + 7 = 2y - 3$
Add constant term to both sides: Add $3$ to both sides of the equation to move the constant term on the right side to the left side. $\newline$ $-4x + 7 + 3 = 2y - 3 + 3$ $\newline$ $-4x + 10 = 2y$
Divide both sides by $2$ : Divide both sides of the equation by $2$ to solve for $y$ and to find the coefficient of $x$ , which represents the slope. $\newline$ $\frac{{(-4x + 10)}}{2} = \frac{{2y}}{2}$ $\newline$ $-2x + 5 = y$
Identify slope of the line: Identify the slope of the line from the coefficient of $x$ in the equation $y = -2x + 5$ . $\newline$ The slope ( $m$ ) is $-2$ .