All categories

2 years ago

Find the equation of the line through the points (-2,1) and (5,-20)

Mathematics

1 answer:

ankoles [38]2 years ago

5 0

Answer:

y = -3x - 5

Step-by-step explanation:

First find the slope: (-20 - 1) / (5 - (-2)) = -3

Then plug in one set of points into the equation y = mx + b.

1 = -3(-2) + b

1 = 6 + b

b = -5

So you can get the equation: y = -3x - 5

You might be interested in

Which graph best represents -5y = -6x + 15

frutty [35]

Answer: Option c.

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.

Given the equation:

$-5y = -6x + 15$

Solve for "y" in order to write in Slope-Intercept form:

$y = \frac{-6}{-5}x + \frac{15}{-5}\\\\y = \frac{6}{5}x -3$

Now you can identify that that the slope and the y-intercept are:

$m=\frac{6}{5}\\\\b=-3$

A posive slope means that the the line moves upward from left to right.

With this information, you can conclude that the the graph that best represents the given equation is the graph shown in the Option c.

3 0

3 years ago

7/4x^2 -2 = - 0.05x + 4

nata0808 [166]

Answer:

$x1=\frac{-2-2\sqrt{29401} }{245} x2=\frac{-2+2\sqrt{29401} }{245}$

Step-by-step explanation:

Step One: Convert

49/16x^2-2=-0.05x+4

Step Two: Multiply Both Sides by 80

245x^2-160=-4x+320

Step Three: Move everything to the left

245x^2+4x-480=0

Final Step: Quadratic Formula

$x1=\frac{-2-2\sqrt{29401} }{245} x2=\frac{-2+2\sqrt{29401} }{245}$

6 0

2 years ago

Find the missing measure.

eduard

Answer:

Step-by-step explanation:

(360-92-150)/2

= 118/2

= 59

Answered by GAUTHMATH

4 0

2 years ago

There are 4 red marbles and 8 green marbles in a box. If Emma randomly selects a marble from the box, what is the probability of

murzikaleks [220]

Answer:

The probability of a successful event is the ratio of the number of successful events to the total number of events. In this case, a successful event is selecting a red marble from the box. The total number of events is the total number of marbles in the box:

Red marbles/Total number of marbles

4/12 divide

=1/3

3 0

2 years ago

The one number is 3 less than 5 times another number. Their sum is 81. List the numbers.

Inga [223]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers