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djyliett [7]
3 years ago
9

What is the equation of the line that passes through (-5, 0) and (4, 3)?

Mathematics
1 answer:
kotegsom [21]3 years ago
3 0

Answer:

y = 1/3x + 5/3

Step-by-step explanation:

An equation contains a slope and y-intercept, in the form y = mx + b. To find the slope or m, you need to plug the coordinates into the slope formula.

y2 - y1/ x2 - 1

3 - 0/ 4 - (-5)

= 3 / 9

= 1/3

Now that we know the slope, we need to plug the values of x and y to find the y-intercept.

y = 1/3x + b

3 = 1/3(4) + b

3 = 4/3 + b

5/3 = b

The equation is y = 1/3x + 5/3

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2/5 + 1/2
you find the common denominator
which is 10
4/10 + 5/10
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4 0
4 years ago
Need help ASAP plz <br> What is the slope of (1,4) (7,2)
aliina [53]

Answer:

3 <em>or 3/1</em>

Step-by-step explanation

the equation for finding the slope when given two coordinate pairs is (y₂ - y₁)/(x₂ - x₁), aka change in <em>y</em> over change in <em>x</em>.

pick one of your coordinate pairs to be y₂ and x₂. it doesn't matter which coordinate pair you choose. the remaining coordinate pair will be your y₁ and x₁.

<em>for this example, i'll use the coordinate pair (7, 2) as my y₂ and x₂ and (1, 4) as my y₁ and x₁.</em>

first, substitute the x-value and y-value from the first coordinate pair.

(y₂ - y₁)/(x₂ - x₁) ⇒ (7 - y₁)/(2 - x₂)

then substitute the y-value and x-value from the remaining coordinate pair.

(7 - y₁)/(2 - x₂) ⇒ (7 - 4)/(2 - 1)

subtract 7 - 4.

(7 - 4)/(2 - 1) ⇒ (3)/(2 - 1)

subtract 2 - 1.

(3)/(2 - 1) ⇒ (3)/(1) <em>or </em>3/1

simplify.

3/1 ⇒ 3

i hope this helps! have a great day <3

7 0
3 years ago
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