Carter has already jarred 12 liters of jam and will jar an additional 1 liter of jam every day.

Can I get some help?

ruslelena [56]

Answer:

y = 4x - 9

Step-by-step explanation:

The points on the graph we can see clearly are (1, -5) and (2, -1).

The equation of the line is in the form <u>slope-intercept</u>, where the general formula is y = mx + b.

We need to find "m", the slope of the line; and "b", the y-intercept.

Use the two points we found in the formula for calculating slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

Choose which is point 1 and point 2:

Point 1 (1, -5) x₁ = 1 y₁ = -5

Point 2 (2, -1) x₂ = 2 y₂ = -1

Substitute x₁, x₂, y₁, and y₂

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

$m=\frac{-1-(-5)}{2-1}$ Solve in the numerator and denominator

$m=\frac{4}{1}$ Simplify the fraction

$m=4$ Slope of the line

Find "b":

Substitute a point's "x" and "y" coordinates, and the slope, "m", into the general formula for slope-intercept.

I will use point 2:

x = 2; y = -1; m = 4

y = mx + b

-1 = (4)(2) + b Multiply

-1 = 8 + b Start isolating "b"

-1 - 8 = 8 - 8 + b Subtract 8 from both sides

-1 - 8 = b "b" is isolated

b = -9 Answer for "b", y-intercept.

The variable should be on the left side for standard formatting.

Take the general formula: y = mx + b

Replace "m" and "b" with the values we found.

y = 4x - 9

8 0

2 years ago

Space Shuttle Marion is observing the launch of a space

Vera_Pavlovna [14]

Using the slope concept, it is found that the shuttle traveled 3.2 miles while Marion was watching.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

Initially, the angle of elevation is of 16º, with an elevation of 1 mi, hence:

$\tan{16^\circ} = \frac{1}{x_1}$

$x_1 = \frac{1}{\tan{16^\circ}}$

$x_1 = 3.5$

Then, at the end, the angle will be of 74º, with the elevation remaining constant, hence:

$\tan{74^\circ} = \frac{1}{x_2}$

$x_2 = \frac{1}{\tan{74^\circ}}$

$x_2 = 0.3$

The distance is:

$d = x_1 - x_2 = 3.5 - 0.3 = 3.2$

The shuttle traveled 3.2 miles while Marion was watching.

More can be learned about the slope concept at brainly.com/question/18090623

3 0

2 years ago

Help on both please ! Im a new student at this school and didn't learn this

larisa86 [58]

For the first one, you have to convert the fractions to an improper fraction. To do that you need to multiply the bottom denominator number (3) by the whole number (1) then you need to add the numinator, so 3x1+2= 5. You have to keep the denominator so 1 2/3 is equal to 5/3. Then do the same to 2 1/5, and you get 11/5. Now you have to find a common denominator, that's basically the smallest number that both numbers can go Into, the lowest common denominator for 3 and 5 is 15. So 3x5= 15, so we have to multiply the top number by 5 which is 25. So 5/3 is equal to 25/15, then 5x3= 15, so you need to multiply 11 by 3 which is 33. So 11/5 is equal to 33/15. Then you add them. Add the numinators (25+33=58. Then you keep the denominator 15. So when u add it it's 58/15 then you need to simplify that and you get 3 13/15.

The second one you turn them into improper fractions like I told you how to before (multiply the bottom number by the whole number then add he top number, then add he same denominator.) do that for both. Then you line them right next to each other and multiply across. (I just realized that they were the same number so they are equal to 5/3 and 11/5)
Then you do 5x11 and you get 55 then do 3x5 and you get 15. 55/15 is your answer, but you need to simplify it, you need to divide 55 by 15, (not all the way just the first number) so you do 15x3 and that's 45, then you subtract that from 55, and you get 10, so then you take your denominator (15) and you answer is 3 10/15. But when you simplify it it's 3 and 2/3

Hope I helped sorry it's so long and sorry for any typos it's so long I didn't go back and check

5 0

3 years ago

Help me please !!<br> I need this ASAP please helpppp

Kobotan [32]

Answer:

C

Step-by-step explanation:

$y=(2x-3)/5$