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fomenos
1 year ago
9

Given 2 points, write the equation of a line in point-slope form, then convert to slope-interceptform.4) (3, 6) and (8, 6)

Mathematics
1 answer:
ruslelena [56]1 year ago
8 0

First, we have to find the slope

m=\frac{y2-y1}{x2\text{ - }x1}=\frac{6-6}{8\text{ - }3}=\frac{0}{5}=0

It is an horizontal line

Point-slope form= = y - 6 = 0 (x - 3)

Slope-intercept = y=mx + b,

let's find b

\begin{gathered} 6=0(3)+b \\ 6=0+b \\ b=6 \end{gathered}

y = 0x + 6

y = 6

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2 years ago
10. If x = -2, y=-6 and z= 4, find the value of 4xy<br>Z​
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Answer:

192

Step-by-step explanation:

Given

4xyz ← substitute given values into expression

= 4 × - 2 × - 6 × 4 = - 8 × - 24 = 192

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3 years ago
A pickup truck carrying 10 to the 3rd power identical bricks weighs 6,755 pounds. If the empty truck weighs 6,240 pounds, what i
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The answer is that each brick weights .515 pounds.

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The weight of the full truck minus the weight of the empty truck is the weight of the bricks:

6755 - 6240 = 515 pounds of bricks

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3 years ago
Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)
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Answer:

y=\frac{9}{4}x-\frac{55}{4}

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

\frac{2-(-7)}{7-3}

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4

\frac{9}{4}

The slope is \frac{9}{4}.

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

2=\frac{9}{4}(7)+b

2=\frac{63}{4}+b

-\frac{55}{4} =b

The y-intercept is -\frac{55}{4}.

Now that we know the slope and the y-intercept, we can write the equation:

y=\frac{9}{4}x-\frac{55}{4}

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3 years ago
When a retired police officer passes away, he leaves $325,000 to be divided among his five children and three grandchildren. The
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Grandchildren get 25,000 and child gets
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