What is the slope of the line? 6x+10 y=8 Choose 1 answer: (A) -(5)/(4) (B) -(4)/(5) (c) -(3)/(5) (D) -(3)/(4)

Finding the slope: To find the slope of the line, 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.Isolating terms with y: First, we subtract 6x from both sides of the equation to isolate terms with y on one side. 6x + 10y - 6x = 8 - 6x This simplifies to: 10y = -6x + 8Dividing every term by 10: Next, we divide every term by 10 to solve for y. (10y)/10 = (-6x)/10 + 8/10 This simplifies to: y = -3/5x + 4/5Identifying the slope: Now that we have the equation in slope-intercept form, we can identify the slope, which is the coefficient of x. The slope is -3/5.

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What is the slope of the line?

6x+10 y=8
Choose 1 answer:
(A)
-(5)/(4)
(B)
-(4)/(5)
(c)
-(3)/(5)
(D)
-(3)/(4)

What is the slope of the line? $\newline$ $6x+10y=8$ $\newline$ Choose $1$ answer: $\newline$ (A) $-\frac{5}{4}$ $\newline$ (B) $-\frac{4}{5}$ $\newline$ (C) $-\frac{3}{5}$ $\newline$ (D) $-\frac{3}{4}$

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Math Problems

Algebra 1

Solve one-step linear equations

Full solution

Q. What is the slope of the line?

\newline

6x+10y=8

\newline

Choose

1

answer:

\newline

(A)

-\frac{5}{4}

\newline

(B)

-\frac{4}{5}

\newline

(C)

-\frac{3}{5}

\newline

(D)

-\frac{3}{4}

Finding the slope: To find the slope of the line, 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.
Isolating terms with y: First, we subtract $6x$ from both sides of the equation to isolate terms with $y$ on one side. $\newline$ $6x + 10y - 6x = 8 - 6x$ $\newline$ This simplifies to: $\newline$ $10y = -6x + 8$
Dividing every term by $10$ : Next, we divide every term by $10$ to solve for y. $\newline$ $(10y)/10 = (-6x)/10 + 8/10$ $\newline$ This simplifies to: $\newline$ $y = -\frac{3}{5}x + \frac{4}{5}$
Identifying the slope: Now that we have the equation in slope-intercept form, we can identify the slope, which is the coefficient of $x$ . $\newline$ The slope is $-\frac{3}{5}$ .