What is the slope of the line? 7x+2y=5 Choose 1 answer: (A) -(2)/(7) (B) (7)/(2) (c) -(7)/(2) (D) (2)/(7)

Equation setup: To find the slope of the line represented by the equation 7x + 2y = 5, we need to solve for y in terms of x to get the equation into slope-intercept form, which is y = mx + b, where m is the slope.Isolate y term: Subtract 7x from both sides of the equation to isolate the y term on one side. 7x + 2y - 7x = 5 - 7x 2y = -7x + 5Solve for y: Divide every term by 2 to solve for y. (2y) / 2 = (-7x) / 2 + 5 / 2 y = -7/2 * x + 5/2Identify the slope: Now that we have the equation in slope-intercept form, we can identify the slope as the coefficient of x. The slope is -7/2.

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What is the slope of the line?

7x+2y=5
Choose 1 answer:
(A)
-(2)/(7)
(B)
(7)/(2)
(c)
-(7)/(2)
(D)
(2)/(7)

What is the slope of the line? $\newline$ $7x+2y=5$ $\newline$ Choose $1$ answer: $\newline$ (A) $-\frac{2}{7}$ $\newline$ (B) $\frac{7}{2}$ $\newline$ (C) $-\frac{7}{2}$ $\newline$ (D) $\frac{2}{7}$

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Math Problems

Algebra 1

Solve linear equations: mixed review

Full solution

Q. What is the slope of the line?

\newline

7x+2y=5

\newline

Choose

1

answer:

\newline

(A)

-\frac{2}{7}

\newline

(B)

\frac{7}{2}

\newline

(C)

-\frac{7}{2}

\newline

(D)

\frac{2}{7}

Equation setup: To find the slope of the line represented by the equation $7x + 2y = 5$ , we need to solve for $y$ in terms of $x$ to get the equation into slope-intercept form, which is $y = mx + b$ , where $m$ is the slope.
Isolate y term: Subtract $7x$ from both sides of the equation to isolate the $y$ term on one side. $\newline$ $7x + 2y - 7x = 5 - 7x$ $\newline$ $2y = -7x + 5$
Solve for y: Divide every term by $2$ to solve for y. $\newline$ $(2y) / 2 = (-7x) / 2 + 5 / 2$ $\newline$ $y = -\frac{7}{2} \cdot x + \frac{5}{2}$
Identify the slope: Now that we have the equation in slope-intercept form, we can identify the slope as the coefficient of $x$ . $\newline$ The slope is $-\frac{7}{2}$ .