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

Isolate y term: 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 in slope-intercept form, which is y = mx + b, where m is the slope. 7x + 2y = 5 Subtract 7x from both sides to isolate the y term. 2y = -7x + 5Divide by 2: Now, divide both sides by 2 to solve for y. y = (-7x + 5) / 2 y = (-7/2)x + 5/2 The coefficient of x in this equation is the slope of the line.Calculate slope: The slope of the line is -7/2, which corresponds to answer choice (C) -(7)/(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?

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

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

View step-by-step help

Home

Math Problems

Algebra 1

Solve linear equations: mixed review

Full solution

Q. What is the slope of the line?

\newline

7 x+2 y=5

\newline

Choose

1

answer:

\newline

(A)

\frac{2}{7}

\newline

(B)

-\frac{2}{7}

\newline

(c)

-\frac{7}{2}

\newline

(D)

\frac{7}{2}

Isolate y term: 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 in slope-intercept form, which is $y = mx + b$ , where $m$ is the slope. $\newline$ $7x + 2y = 5$ $\newline$ Subtract $7x$ from both sides to isolate the $y$ term. $\newline$ $2y = -7x + 5$
Divide by $2$ : Now, divide both sides by $2$ to solve for $y$ . $y = \frac{-7x + 5}{2}$ $y = \left(-\frac{7}{2}\right)x + \frac{5}{2}$ The coefficient of $x$ in this equation is the slope of the line.
Calculate slope: The slope of the line is $-\frac{7}{2}$ , which corresponds to answer choice (C) $-\left(\frac{7}{2}\right)$ .