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Anni [7]
2 years ago
5

If slope is 3/5 and y = -2 what is it in slope intercept form

Mathematics
2 answers:
Art [367]2 years ago
8 0

Answer:

Step-by-step explanation:

Slope m = 3/5 and

intercept at y = -2

And y = mx + c

y = 3/5x + (-2)

y = 3/5x - 2

Multiply each term by 5

5y = 3x - 10

vazorg [7]2 years ago
5 0
Answer: y=3/5x-2

Remember the model equation for slope intercept form. It is y=mx+b. Now let’s write what each letter is for

m-slope
x-variable
b-y-intercept

We know that the slope is 3/5. Let’s substitute that into the model equation. Now it is y=3/5x+b

Your question also said that the y-intercept is -2. Let’s substitute that in for b.

Your final equation is y=3/5x-2

Hope this helps comment below for more questions :)
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<h3>Answer:  Choice D</h3>

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====================================================

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(x_1,y_1) = (-1,-1) \text{ and } (x_2,y_2)  = (2,3)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{3 - (-1)}{2 - (-1)}\\\\m = \frac{3 + 1}{2 + 1}\\\\m = \frac{4}{3}\\\\

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-------------

Parallel lines have equal slopes, but different y intercepts. We'll need to see which of the four answer choices have a slope of 4/3.

Solve the equation in choice A for y. The goal is to get it into y = mx+b form so we can determine the slope m.

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

Equation A has a slope of -3/4 and not 4/3 like we want.

Therefore, this answer choice is crossed off the list.

Follow similar steps for choices B through D. I'll show the slopes of each so you can check your work.

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We have a match with equation D. Therefore, the equation 4x-3y = 15 is parallel to the given line shown in the graph.

You can use graphing tools like Desmos or GeoGebra to confirm the answer.

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