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Viefleur [7K]
3 years ago
6

Which is the graph of f(x) =

Mathematics
1 answer:
rosijanka [135]3 years ago
6 0
The answer would be the first 1.
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Find an equation for the line that passes through the points (5.-5) and (-4,-2)
ANEK [815]

Answer:

\large\boxed{y=-\dfrac{1}{3}x-\dfrac{10}{3}\to x+3y=-10}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (5, -5) and (-4, -2).

Substiute:

m=\dfrac{-2-(-5)}{-4-5}=\dfrac{-2+5}{-9}=\dfrac{3}{-9}=-\dfrac{1}{3}

Put the value of the slope and the coordinates of the point (5, -5) to the equation of a line:

-5=-\dfrac{1}{3}(5)+b

-5=-\dfrac{5}{3}+b               <em>add 5/3 to both sides</em>

-\dfrac{15}{3}+\dfrac{5}{3}=b\\\\-\dfrac{10}{3}=b\to b=-\dfrac{10}{3}

Finally we have the equation of a line in the slope-intercept form:

y=-\dfrac{1}{3}x-\dfrac{10}{3}

Convert to the standard form <em>(Ax + By = C)</em>:

y=-\dfrac{1}{3}x-\dfrac{10}{3}          <em>multiply both sides by 3</em>

3y=-x-10              <em>add x to both sides</em>

x+3y=-10

4 0
3 years ago
How do I solve this problem<br><br> -2x+9y=15<br> x+7=4
Olegator [25]

Answer:

x= -3 and y =1

4 0
2 years ago
Pleases complete the proof but with each step can you tell me which property of equality to use.
wel

Answer:

Step-by-step explanation:

6 0
2 years ago
A cell phone company charges $15 for 100 minutes. What is the cost per minute? Round to the nearest cent.
Pavlova-9 [17]

Answer:

.15 dollars per minute.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
18 is 75 percent of what number
dimulka [17.4K]
18 is 75% of x.

75\%= \frac{75}{100}=\frac{3 \times 25}{4 \times 25}=\frac{3}{4} \\ \\&#10;\frac{3}{4}x=18 \\&#10;x=18 \times \frac{4}{3} \\&#10;x=6 \times 4\\&#10;x=24&#10;

18 is 75% of 24.
8 0
3 years ago
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