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Wittaler [7]
3 years ago
8

Write an equation in point-slope form and in slope-intercept form.

Mathematics
1 answer:
Sever21 [200]3 years ago
3 0

The point-slope form:

y-y_1=m(x-x_1)

The slope-intercept form:

y=mx+b

The formula of a slope:

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

We have the points (1, -5) and (-3, -7). Substitute:

m=\dfrac{7-(-5)}{-3-1}=\dfrac{12}{-4}=-3\\\\y-(-7)=-3(x-(-3))\\\\\boxed{y+7=-3(x+3)}

Rewrite to the slope-intercept form:

y+7=-3(x+3)           <em>use distributive property</em>

y+7=-3x-9       <em>subtract 7 from both sides</em>

\boxed{y=-3x-16}

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Write the slope-intercept form equation of the line that passes through (1,-1) and (2, 2).​
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Answer:

The answer to your question is y= 3x - 4.

Step-by-step explanation:

Plot the points (1,-1) and (2,2) and get your slope, in the case of slope-intercept form "m" using the rise/run method. You rise 3 units and run one unit to the right to get from (1,-1) to (2,2), so your slope is 3/1 or just simply 3. -4 is your y-intercept, or "b", because if you plot the two aforementioned points (1,-1) and (2,2) and make a line with them, your line meets the y-axis at the point (0, -4). Hope this helps!

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2. Use (&lt;, &gt;, =) to compare 23 and 34.
lara31 [8.8K]

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Step--step explanation:

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8 0
3 years ago
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Write a vector equation of the line that passes through P(4, 7) and is parallel to a = (3, 8).
Anvisha [2.4K]

Answer:

B

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(x,y) = P + (a)t

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(x,y) - (4,7) = t(3,8)

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Helpppp me please!! I dont understand.
Dafna1 [17]

Answer:

X = 11

X = 7

Step-by-step explanation:

Part 1:

The measure of an inscribed angle is half the measure of an intercepted arc. So 1/2 mCE = m∠CDE

158 ÷ 2 = 79

You need to find x so you're going to set your equation of (8x - 9) = 79

Then you're going to add 9 to both sides to get 8x = 88

Divide both sides by 8 to get x = 11

Part 2:

We know that WY is 180 because it's a semicircle. Using this and the knowledge that ∠WXY is half the measure of the intercepted arc (180), we know that our equation should be (13x - 1) = 90

add 1 to both sides and our equation is (13x = 91)

Divide both sides by 13 and...

x = 7

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3 years ago
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