All categories

1 year ago

Find the slope of the line.

Mathematics

1 answer:

Otrada [13]1 year ago

4 0

Answer:

2/3

Step-by-step explanation:

The slope of the line can be calculated by dividing the vertical distance (rise) by the horizontal distance (run) between the two points.

The first point has coordinates (-1,0), and the second point has coordinates (2,2).

The rise is 2-0=2, and the run is 2-(-1)=3. Therefore, the slope is 2/3.

You might be interested in

Write an equation in slope for a line that passes through (3,4) (and has a y intercept of -8)

Vlad [161]

Answer:

Part 1) The equation in slope intercept form is $y=4x-8$

Step-by-step explanation:

Part 1) Write an equation in slope-intercept form for a line that passes through (3,4) (and has a y intercept of -8)

we know that

The equation of a line in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$b=-8$

$point\ (3,4)$

substitute

$4=m(3)-8$

solve for m

$4+8=3m$

$3m=12$

$m=4$

therefore

$y=4x-8$

5 0

2 years ago

What are the steps to do 4z−(−3z)

Molodets [167]

4z - ( - 3 z)

= 4 z + 3 z = 7 z

5 0

3 years ago

Read 2 more answers

A standard letter-sized piece of paper has a length and width of 8.5 inches by 11 inches.

den301095 [7]

Answer:

Area of the resulting rectangle = 23.375 inch²

Step-by-step explanation:

After 1 fold width or length reduces to half.

Area = Length x width

So after 1 fold area will reduce to half.

So we have

$\texttt{Area after n folds =}\frac{\texttt{Initial area}}{2^{\texttt{number of folds}}}$

Initial area = 8.5 x 11 = 93.5 inch²

Here the paper were folded completely in half, length is reduced to half and width reduced to half, that is

Number of folds = 2

$\texttt{Area after 2 folds =}\frac{\texttt{Initial area}}{2^{2}}\\\\\texttt{Area after 2 folds =}\frac{93.5}{4}=23.375inch^2$

Area after 2 folds = 23.375 inch²

Area of the resulting rectangle = 23.375 inch²

8 0

2 years ago

A billboard designer has decided that a sign should have 3 ft margins at the top and bottom and 5 ft margins on the left and rig

elixir [45]

Answer:

The width of billboard is "[x]" and the height of billboard is "[y"]. If total area of billboard is $9000 ft^2$ then $9000=xy$

Step-by-step explanation:

• The total width of billboard is [x]. Therefore the width of printed area will be (x-10) by excluding margin of left and right side.

• The total height of billboard is [y]. Therefore the height of printed area will be [(y-6)] by excluding the margin of top and bottom from the total height.

• To find the printed area of billboard calculations are given below:

$& 9000=xy$

$& y=\frac{9000}{x} \\ & A=(x-10)(y-6) \\ & A=xy-6x-10y+60 \\ & A=x\left( \frac{9000}{x} \right)-6x-10\left( \frac{9000}{x} \right)+60 \\ & A=9060-6x-\frac{9000}{x} \\$

On taking the first order derivative of A

$A'=-6+\left( \frac{90000}{{{x}^{2}}} \right)$

$& \left( \frac{90000}{{{x}^{2}}} \right)-6=0 \\ & 6{{x}^{2}}=90000 \\ & x=\sqrt{15000} \\ & y=\frac{9000}{x}=\frac{90000}{\sqrt{15000}}=10\sqrt{150} \\$