WILL MARK BRAINLIEST FIRST ONE ONLY!!

Find an equation of the line passing through the given points (1,-3) and (3,3)

chubhunter [2.5K]

ANSWER: y= 3x - 6

STEP-BY-STEP EXPLANATION:

(1,-3) and (3,3)

X1=1 X2=3

Y1= - 3 Y2=3

1) Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope formula:

m = $\frac{Y2-Y1}{X2-X1}$

m= $\frac{3-(-3)}{3-1}$ m= $\frac{6}{2}$ = 3

2)Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and we get:

y= 3x+b

Next choose one of the two point to plug in for the values of x and y. It does not matter which one of the two points you choose because you should get the same answer in either case. I generally just choose the first point listed so I don’t have to worry about which one I should choose.

y= 3x+b point (1,-3)

-3= 3(1) + b

-3-3=b

-6=b

3)Write the answer.

Using the slope of 3 and the y-intercept of -6 the answer is:

y = 3x - 6

6 0

3 years ago

Which of the following statements is likely to be true?

Nostrana [21]

Answer:

c. The interquartile range offers a measure of income inequality among California residents.

Step-by-step explanation:

The range is the midspread which measures statistical dispersion. This is also known as H-spread which is equal to the difference between 75th percentile and 25th percentile. In the given scenario the interquartile range offers measure of income inequality among California residents.

5 0

3 years ago

Find dy/dx for (y^2/x) = 18 by implicit differentiation

Natasha2012 [34]

9514 1404 393

Answer:

dy/dx = y/(2x)

Step-by-step explanation:

The product formula can be used, along with the power rule.

d(uv) = du·v +u·dv

__

d(y^2/x) = d(18)

2y·dy/x -y^2/x^2·dx = 0

2x·dy -y·dx = 0 . . . . . . . . multiply by x^2/y

dy/dx = y/(2x) . . . . . . . . add y·dx, divide by 2x·dx

6 0

2 years ago

During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 3 hours, at a rate of 3 inches per hour for

Softa [21]

Answer:

use f(x)=y=mx+b

let snow = S, time = t instead of y and x

S(t)=mt+b

The rate of inches per hour represents the slope of the graph, m.

The y-variable would be the amount of snow, S.

The x-variable would be the time, t, in hours.

The function has three pieces:

i) S(t)= 2t (slope = 2)

ii) S(t) = 3t (slope = 3)

iii) S(t) = 0.75t (slope = 0.75)

For the first piece, i), t=3, so the amount of snow is 6 inches.

For the second piece, ii) t=5, so the amount of snow is 15 inches.

For the third piece, iii) t=1, so the amount of snow is 0.75 inch.

In total, it snowed 21.75 inches.

total snow

4 0

3 years ago

What times what give you 33

Tcecarenko [31]

Answer:

11x3

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers