What is the slope of the line? -4x+7=2y-3 Choose 1 answer: (A) -(1)/(2) (B) -(1)/(3) (c) -3 (D) -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 - 3 Add 4x to both sides to move the x-term to the right side of the equation: -4x + 4x + 7 = 2y - 3 + 4x 7 = 2y + 4x - 3Move x-term to right side: Now, isolate the y-term by moving the constant to the other side. 7 + 3 = 2y + 4x 10 = 2y + 4xIsolate y-term: To solve for y, divide every term by the coefficient of y, which is 2. 10 / 2 = (2y) / 2 + (4x) / 2 5 = y + 2xSolve for y: Rearrange the equation to get y on one side and everything else on the other side. y = -2x + 5Rearrange equation: Identify the slope of the line from the equation y = -2x + 5. The coefficient of x is the slope (m). So, the slope m = -2.

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What is the slope of the line?

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

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

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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

-4x+7=2y-3

\newline

Choose

1

answer:

\newline

(A)

-\frac{1}{2}

\newline

(B)

-\frac{1}{3}

\newline

(C)

-3

\newline

(D)

-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. $\newline$ $-4x + 7 = 2y - 3$ $\newline$ Add $4x$ to both sides to move the x-term to the right side of the equation: $\newline$ $-4x + 4x + 7 = 2y - 3 + 4x$ $\newline$ $7 = 2y + 4x - 3$
Move $x$ -term to right side: Now, isolate the $y$ -term by moving the constant to the other side. $\newline$ $7 + 3 = 2y + 4x$ $\newline$ $10 = 2y + 4x$
Isolate y-term: To solve for y, divide every term by the coefficient of y, which is $2$ . $\newline$ $\frac{10}{2} = \frac{2y}{2} + \frac{4x}{2}$ $\newline$ $5 = y + 2x$
Solve for y: Rearrange the equation to get $y$ on one side and everything else on the other side. $\newline$ $y = -2x + 5$
Rearrange equation: Identify the slope of the line from the equation $y = -2x + 5$ . $\newline$ The coefficient of $x$ is the slope ( $m$ ). $\newline$ So, the slope $m = -2$ .