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4 years ago

What the slope and y intercept ? and how did you find it ?

Mathematics

1 answer:

EastWind [94]4 years ago

7 0

Answer:

Slope: $m=4$

y-intercept: $b=-1$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

The slope can be found with the following formula:

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

In this case you can say that:

$y_2=-5\\y_1=11\\\\x_2=-1\\x_1=3$

Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:

$m=\frac{-5-11}{-1-3}\\\\m=\frac{-16}{-4}\\\\m=4$

By definition, the line intersects the y-axis when the value of "x" is 0.

Notice in the table that when $x=0$ , $y=-1$

Therefore, the y-intercept is:

$b=-1$

You might be interested in

(1,-7) with a slope of -5 as an equation

Liono4ka [1.6K]

Answer:

y=-5x-2

Step-by-step explanation:

y=mx+b

where m is the slope

y=-5x+b

to solve for b, which is the y intercept, plug in (1,-7)

-7=-5(1)+b

-7=-5+b

-2=b

y=-5x-2

7 0

3 years ago

On Thursday, 72% of the customers at a frozen yogurt shop ordered vanilla frozen yogurt. If 180 customers ordered vanilla frozen

Ber [7]

180 of 72% is 129.6. 180*72= 12960. Since 72% = .72, you need to put the decimal 2 places behind the decimal.

6 0

3 years ago

Read 2 more answers

8,706, 2812 What is the value of 7

LiRa [457]

Answer:

7 million is the answer to this question

5 0

3 years ago

A 95-foot wire attached from the top of a cell phone tower makes a 62 degree angle with the ground. Joey is standing 150 feet be

a_sh-v [17]

Answer:

23.32 degrees

Step-by-step explanation:

We set up a large right triangle that has 2 triangles within it. The large triangle is a right triangle. The height of it is the height of the tower, the base angle is 62, the hypotenuse is 95, and the base measure is y. The other triangle has the same height which is the height of the tower, the angle is what we are looking for, and the base measure is 150 feet beyond y, so its measure is y + 150. We have enough information to find the height of the tower, so let's do that first. Going back to the first smaller triangle.

$sin62=\frac{x}{95}$ so the height of the tower is 83.88 feet. Now we need to solve for y. Using that same triangle and the tangent ratio, we find that $tan62=\frac{83.88}{y}$ . Now let's do the same thing for the other triangle with the unknown angle.

$tan\beta =\frac{83.88}{y+150}$

Solve both of these for y. The first one solved for y:

$y=\frac{83.88}{tan62}$

The second one solved for y will simplify to:

$y=\frac{83.88-150tan\beta }{tan\beta }$

Now that these are both solved for y, and y = y, we can set them equal to each other by the transitive property of equality:

$\frac{83.88-150tan\beta }{tan\beta }=\frac{83.88}{tan62}$

Cross multiply to get this big long messy looking thing:

$tan62(83.88-150tan\beta )=83.88tan\beta$

Distribute through the parenthesis to get

$83.88tan62-[(tan62)(150tan\beta)]=83.88tan\beta$

Get the unknown angles on the same side so it can be factored out:

$83.88tan62=83.88tan\beta +[(tan62)(150tan\beta )]$

And then factoring it out gives you:

$83.88tan62=tan\beta(83.88+150tan62)$

Divide to get

$tan\beta =\frac{83.88tan62}{83.88+150tan62}$

Do this on your calculator in degree mode to give you an angle measure of 23.32°. I know this is really hard to follow without being able to draw the pics for you like I do in my classroom, but hopefully you can follow my description and draw your own triangles and follow from that!

4 0

3 years ago

Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall. He

kotegsom [21]

Answer:

He would need to climb 480.97 m

Explanation:

The ground, the plane to climb and the altitude (100 m) all form a right-angled triangle

Therefore, we can apply the special trig functions.

These functions are as follows:

sin(θ) = $\frac{opposite}{hypotenuse}$