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2 years ago

Write an equation of a line in slope intercept form that contains the points (4,-4) and (-2,-2)

Mathematics

1 answer:

antiseptic1488 [7]2 years ago

8 0

If that means find the slope, then the answer is 1/3

Work: -4--2=(-4+2)/(4--2)=(4+2)

So basically, (-4+2)/(4+2)

2/6

1/3

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Find the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10). (answer in slope-intercept form)

NeX [460]

So, a line parallel to y - 5x = 10, will have the same slope as that equation, so what is that slope anyway? let's solve for "y".

 $\bf y-5x=10\implies y=5x+10\implies y=\stackrel{slope}{5}x\stackrel{y-intercept}{+10}$

alrite, so the slope is 5 then, well, then the parallel line will have the same slope.

so, we're really looking for the equation of a line whose slope is 5 and runs through 3,10.

 $\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 3}}\quad ,&{{ 10}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 5
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-10=5(x-3)
\\\\\\
y-10=5x-15\implies y=5x-5$

6 0

2 years ago

Read 2 more answers

Is (-1,4) a solution of the inequality y<2x+5

LenKa [72]

Answer:

No, (-1,4) is not a solution.

Step-by-step explanation:

This is actually a simple problem...don't overcomplicate it!

All you need to do is plug the values into the equation and solve!

y < 2x + 5

4 < 2(-1) + 5

4 < 3

8 0

3 years ago

Al bought a fishing pole for 60% off its original price of $97. If the tax was 4% (of the sale price), how much did Al pay for t

choli [55]

Answer:

$40.35

Step-by-step explanation:

60% off of the fishing poles price means Al payed for 40% of the original price. (So, you multiply 97 by .40 - And you get 38.8)
For the tax you multiply 38.8 times .04- You should get 1.552
Lastly, add 38.8 and 1.522 together.

8 0

2 years ago

The product of a number and -2/3 is -9/10 (20 Points) What is the number?

poizon [28]

Answer:

$\large\boxed{n=\dfrac{27}{20}}$

Step-by-step explanation:

$\text{Let}\ n\ \text{is a number.}\\\\\text{The product of a number and}\ -\dfrac{2}{3}\ \text{is}\ -\dfrac{9}{10}:\\\\-\dfrac{2}{3}\cdot n=-\dfrac{9}{10}\\\\-\dfrac{2n}{3}=-\dfrac{9}{10}\qquad\text{change the signs}\\\\\dfrac{2n}{3}=\dfrac{9}{10}\qquad\text{cross multiply}\\\\(2n)(10)=(3)(9)\\\\20n=27\qquad\text{divide both sides by 20}\\\\\dfrac{20n}{20}=\dfrac{27}{20}\\\\\boxed{n=\dfrac{27}{20}}$

8 0

3 years ago

Read 2 more answers

What is 0.36 (6 is repeating) expressed as a fraction in simplest form?

sergij07 [2.7K]

11/30 is .36666... because that is what you get when you divide 11 by 30. Hope this helps!

7 0

3 years ago