Yolanda saves money to buya $200 cell phone. She has $70, and saves $25 each week.

A line passes through (10,4) and (13,-11). Write the equation of the line in standard form.

AlexFokin [52]

$\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{-11}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-11-4}{13-10}\implies \cfrac{-15}{3}\implies -5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-4=-5(x-10)$

now

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

therefore,

$\bf y-4=-5(x-10)\implies y-4=-5x+50\implies \blacktriangleright 5x+y=54 \blacktriangleleft$

7 0

4 years ago

Joey's father stops at the gas station to buy gas. The car has a 16-gallon tank, and the fuel gauge says there is 3/8 of a tank

PSYCHO15rus [73]

It will read 1/6 gallon

5 0

3 years ago

Read 2 more answers

The given table and equation represent the cost for carnival rides.

lozanna [386]

Answer:

The ordered pairs that are presented are (7, 99.5) and (3, 51.5)

Step-by-step explanation:

We are given the cost function of the carnival rides as

$c=15.5+12f$

which is a typical linear expression of the form $y=ax+b$ where here $y=c$ , $f=x$ , $a=12$ and $b=15.5$ . To check if an ordered pair i.e. a point $(x,y)$ , is represented by the table we can simply plug in the equivalent $x$ value in the equation, and check if the result matches the $y$ value.