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1 year ago

A line passes through (5,-2) with a slope of 1/4. Write the equation in slope-intercept form.

Mathematics

2 answers:

Rus_ich [418]1 year ago

6 0

The answer is y = 1/4x + 0.75

trapecia [35]1 year ago

4 0

Answer: y = $\frac{1}{4}$ x - 3 $\frac{1}{4}$

Step-by-step explanation:

Slope-intercept form is in the form of y=mx + b where m is the slope and b is the y-intercept.

We are given the slope, so we will plug this in.

y = mx + b

y = ( $\frac{1}{4}$ )x + b

Now, we will solve for the y-intercept by plugging in the point they give us.

y = ( $\frac{1}{4}$ )x + b

(-2) = ( $\frac{1}{4}$ )(5) + b

-2 = 1.25 + b

-3 $\frac{1}{4}$ = b

Lastly, we will plug this variable into the equation we wrote above for our final answer.

y = $\frac{1}{4}$ x - 3 $\frac{1}{4}$

Read more about writing a slope-intercept form equation for this problem here:

brainly.com/question/13874293

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3 years ago

Sophia's building a skateboard ramp how many 2/5 ft long pieces can she cut from a 4 ft piece of wood what is the division expre

bagirrra123 [75]

Answer:

D. 4/(2/5)

Step-by-step explanation:

For example, if the wood was 8ft long, and was cut into 4 foot long segments, you would divide 8 by 4 to get 2, which is the logical answer. Use the same thinking here. In other words, divide the large piece into smaller pieces.

For this one, divide 4 (large) by 2/5 (small).

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2 years ago

Jordan is mixing water and flour to make tortillas. The number cups of water, w needed for f cups of flour is described by the e

Tresset [83]

Answer:

$1\frac{1}{3}$ cups of flour.

Step-by-step explanation:

Given that:

$w$ is the number of cups of water to be mixed with flour for making tortillas.

$f$ is the number of cups of flour to be mixed with water for making tortillas.

Relation between $w$ and $f$ is given by the equation:

$w=0.75f$

To find:

Number of cups of flour to be added if number of cups of water to be used is 1.

Solution:

We are given an equation with two variables.

Value of one variable is given and we have to find the value of other variable.

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2 years ago

Determine the length of the leg of a 45o – 45o – 90o triangle with a hypotenuse length of 15 inches. ( ANSWER NEEDS TO BE IN RED

SIZIF [17.4K]

Answer:

The lenghts of both legs: $\frac{15\sqrt{2}}{2}\ inches$

Step-by-step explanation:

By definition, when a triangle has angles that measures 45°, 45° and 90°, its legs are congruent.

Then, knowing the lenght of the hypotenuse, we can find the lenght (in inches) of any leg of the given triangle by applying the Trigonometric Identity $sin\alpha=\frac{opposite}{hypotenuse}$ :

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Finally, simplifying, we get:

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2 years ago

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Veseljchak [2.6K]

Divide both sides by -5.
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