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3 years ago

14

Write the equation in slope-intercept form of the following table

2 answers:

umka2103 [35]3 years ago

7 0

Answer:

Step-by-step explanation:

Take any two points and find the slope.

(3,7) ; (9,5)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\$

$=\frac{5-7}{9-3}\\\\=\frac{-2}{6}\\\\=\frac{-1}{3}$

Equation: y -y1 = m(x -x1)

$y - 7 = \frac{-1}{3}(x - 3)\\\\y -7 =\frac{-1}{3}x -3*\frac{-1}{3}\\\\y -7=\frac{-1}{3}x+1\\\\y = \frac{-1}{3}x+1+7\\\\y=\frac{-1}{3}x+8$

Keith_Richards [23]3 years ago

6 0

3 (6 is the answer 4*5

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Find the slope of the line whose equation is 7x-2y=4

borishaifa [10]

Answer:

$\huge\boxed{\text{Slope: } \frac{7}{2}}$

Step-by-step explanation:

In order to find the slope of this equation, we can convert it into slope-intercept form, where we can find the slope more easily.

Slope intercept form is usually in the form $y=mx+b$ , where m is the slope and b is the y-intercept.

Let's algebraically manipulate this problem so we solve for y.

$7x - 2y = 4$
$-2y = 4 - 7x$ <em>(Subtract 7x from both sides)</em>
$y = -2 + \frac{7}{2}x$ <em>(Divide both sides by -2)</em>
$y = \frac{7}{2}x-2$ <em>(Rearrange the equation</em>)

From here, we can now see our equation is $y = \frac{7}{2}x-2$ , in the form $y=mx+b$ . Since m is the slope, and $\frac{7}{2}$ is m, our slope is $\frac{7}{2}$ .

Hope this helped!

6 0

3 years ago

Read 2 more answers

Find the distance between the point (-2, -3) and the line with the equation y=4-2/3x

otez555 [7]

Answer:

$D = \frac{25\sqrt{13}}{13}$

Step-by-step explanation:

Given

$y = 4 - \frac{2}{3}x$

$(x_1,y_1) = (-2,-3)$

Required

Determine the distance

$y = 4 - \frac{2}{3}x$

Write the above equation in standard form:

$Ax + By + C = 0$

So, we have:

$\frac{2}{3}x+y - 4 = 0$

By comparison:

$A = \frac{2}{3}$ $B = 1$ and $C = -4$

The distance is calculated using:

$D = \frac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}}$

Where:

$(x_1,y_1) = (-2,-3)$

$A = \frac{2}{3}$ $B = 1$ and $C = -4$

This gives:

$D = \frac{|\frac{2}{3} * (-2) + 1 * (-3) - 4|}{\sqrt{(\frac{2}{3})^2 + 1^2}}$

$D = \frac{|-\frac{4}{3} -3 - 4|}{\sqrt{\frac{4}{9} + 1}}$

Take LCM

$D = \frac{|\frac{-4-9-12}{3}|}{\sqrt{\frac{4+9}{9}}}$

$D = \frac{|\frac{-25}{3}|}{\sqrt{\frac{13}{9}}}$

$D = |\frac{-25}{3}|/\sqrt{\frac{13}{9}}$

$D = \frac{25}{3}/\sqrt{\frac{13}{9}}$

Split the square root

$D = \frac{25}{3}/\frac{\sqrt{13}}{\sqrt{9}}$

Change / to *

$D = \frac{25}{3}*\frac{\sqrt{9}}{\sqrt{13}}$

$D = \frac{25}{3}*\frac{3}{\sqrt{13}}$

$D = \frac{25}{\sqrt{13}}$

Rationalize

$D = \frac{25}{\sqrt{13}} * \frac{\sqrt{13}}{\sqrt{13}}$

$D = \frac{25\sqrt{13}}{13}$

Hence, the distance is:

$D = \frac{25\sqrt{13}}{13}$

4 0

3 years ago

1.05+2.24= x-3.12 ????????//

coldgirl [10]

1.05+2.24= x-3.12

add the left side

3.29 = x -3.12

add 3.12 to each side

3.29 +3.12 = x

6.41 =x

5 0

3 years ago

The triangles are similar.<br> What is the value of x?<br> Enter your answer in the box.<br><br> X=

Aleks04 [339]

Answer:

x=16

Step-by-step explanation:

5times 4=20

3times 4=12

4times 4=16

4 0

3 years ago

If a rectangle has a perimeter of 58 ft and a length of 4 feet what is the width of the rectangle?

faltersainse [42]

Answer:

25ft

Hoped this helped!

5 0

3 years ago