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kipiarov [429]
3 years ago
7

When graphing a linear function in slope-intercept form, why do you have to plot the y-intercept first? Why can't you use the sl

ope first?
Mathematics
1 answer:
zmey [24]3 years ago
7 0
Because the slope doesn't tell you any actual points on the line. 
It only tells you whether the line tilts up or down, and how steeply. 
But the line could be way up there or way down under, with the same slope.
You can't actually DRAW it until you know some point on it, and
   the y-intercept gives you one.
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A circle is centered at the point (5,-4) & passes through the point (-3,2).
maxonik [38]

Equation of the circle:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

The equation of a circle is given by

(x-x_0)^2+(y-y_0)^2=r^2

where

(x_0,y_0) are the coordinates of the center of the circle

r is the radius of the circle

For the circle in this problem, we know that:

(5,4) are the coordinates of the center

We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

r=\sqrt{(-3-(5))^2+(2-(-4))^2}=\sqrt{(-8)^2+(6)^2}=\sqrt{64+36}=10

Therefore, the equation of the circle is:

(x-5)^2+(y-(-4))^2=10^2\\(x-5)^2+(y+4)^2=100

Learn more about circles:

brainly.com/question/4713715

brainly.com/question/3456442

brainly.com/question/3333996

#LearnwithBrainly

5 0
3 years ago
Taylor wants to install new carpet in her living room. The room length is 15 ft and the width is 15 ft. If the cost of the carpe
irga5000 [103]

Answer:

$1,800.

Step-by-step explanation:

15 x 15 = 225

225 x 8 = 1800

Feel free to let me know if you need more help! :)

7 0
3 years ago
If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)
juin [17]

Answer:

y = -\frac{5}{3}x+\frac{2}{3}

Step-by-step explanation:

Given

f(-2) = 4

f(1) = -1

Required

The equation of the function

The given parameters means that:

(x_1,y_1) = (-2,4)

(x_2,y_2) = (1,-1)

Calculate the slope (m)

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

m = \frac{-1-4}{1--2}

m = \frac{-5}{3}

The equation is then calculated using:

y = m(x - x_1) + y_1

This gives:

y =\frac{-5}{3}(x--2)+4

y =\frac{-5}{3}(x+2)+4

Open bracket

y = -\frac{5}{3}x-\frac{10}{3}+4

Take LCM

y = -\frac{5}{3}x+\frac{-10+12}{3}

y = -\frac{5}{3}x+\frac{2}{3}

6 0
3 years ago
A reel of electrical cable holds 80 metres when full.
kaheart [24]
I3/I6(8O)= 65m of electrical cable left
6 0
3 years ago
You purchase a painting for 9,000 that has an appreciation rate of 12%. What is the growth
Alenkinab [10]

Answer:

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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