All categories

3 years ago

Find the slope and the y-intercept of the line: 6x + 7y = 52

Mathematics

2 answers:

CaHeK987 [17]3 years ago

5 0

Answer:

Slope is -6/7

Y-intercept is 52/7

Step-by-step explanation:

6x + 7y = 52

6x - 6x + 7y = 52 -6x

1/7 (7y = -6x + 52) 1/7

y = -6/7x + 52/7

Katyanochek1 [597]3 years ago

3 0

Answer:

$slope = - \frac{6}{7} \\ y-intercept = 7 \frac{3}{7}$

Step-by-step explanation:

Let's rewrite the equation into the form of y=mx+c, where m is the slope and c is the y-intercept.

6x +7y= 52

7y= -6x +52 (-6x on both sides)

$y = - \frac{6}{7} x + 7 \frac{ 3}{7}$

Thus,

$slope = - \frac{6}{7}$

$y-intercept = 7 \frac{3}{7}$

Alternatively, since y-intercept is when the line cuts through the y- axis (at x=0), substitute x= 0 to find the y-intercept.

6x +7y= 52

When x=0,

6(0) +7y= 52

7y= 52

y= 52 ÷7 (÷7 on both sides)

$y = 7 \frac{3}{7}$

You might be interested in

How much does Jimmy earn each week, and

Kisachek [45]

Answer:

we need more info to answer this question

4 0

3 years ago

Read 2 more answers

PLS ANSWER WHAT IS 3 and 14 hundredths minus 1 and 9 hundredths?

k0ka [10]

Answer:

2 and 5 hundredths

Step-by-step explanation:

3 - 1 = 2

14 hundredths - 9 hundredths = 5 hundredths

hence you get 2 and 5 hundredths

6 0

3 years ago

Look at the picture

Sonbull [250]

$\large\displaystyle\text{$\begin{gathered}\sf 9|x-8| < 36 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Divide \ both \ sides \ by \ 9. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \frac{9(|x-8|)}{9} < \frac{36}{9} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Solve \ Absolute \ Value. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf We \ know \ x-8 < 4 \ and \ x-8 > -4 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf x-8 < 4 \ (Condition \ 1) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 < 4+8 \ (Add \ 8 \ to \ both \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x < 12 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf x-8 > -4 \ (Condition \ 2) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 > -4+8 \ (Add \ 8 \ to \ both \ \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x > 4 \end{gathered}$}$

$\underline{\boldsymbol{\sf{Answer}}}$

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf x < 12 \ and \ x > 4 \end{gathered}$} }$

$\large\displaystyle\text{$\begin{gathered}\sf Therefore,\bf{\underline{the \ correct \ option}} \ \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{"A"}}. \end{gathered}$}$