All categories

3 years ago

What is the equation of the line in slope-intercept form?

Mathematics

2 answers:

belka [17]3 years ago

3 0

Answer:

y = 3/5 x+3

Step-by-step explanation:

two points on the graph

(-5,0) (0,3)

the y intercept is 3 (this is where it crosses the y axis)

the slope is

change in y 0 to 3 up 3

------------------ = -------------- = ------- = 3/5

change in x -5 to 0 right 5

we can tell the slope is positive because it goes from bottom left to top right

a negative slope goes from top left to bottom right

slope intercept form is

y=mx+b

y = 3/5 x+3

Bingel [31]3 years ago

3 0

Your simple answer will be Y = 3/5 x+3

Explain:

The two points on the graph = (-5,0) (0,3)

And then the Y intercept is the number 3

**that is where it intersects on the Y Axis**

So then the slope is....

change Y

0 to 3 up 3

(zero to three) and then (up three)

=3/5

Next...

change X

-5 to 0 Right 5

(negetive five to zero) and (Right five)

(the slope is a positive)

Now the Sloppe intercept is

Y =mx+b

Y = 3/5 x+3

So that is your final answer :)

I hope that this helps

If you have any questions im here to help :)

You might be interested in

Point I is on line segment HJ. Given I J equals 3X +3, HI equals 3X-1, and HJ equals 3X +8, determine the numerical length of HJ

Nezavi [6.7K]

Answer:

Step-by-step explanation:

3x + 3 + 3x - 1 = 3x + 8

6x + 2 = 3x + 8

3x + 2 = 8

3x = 6

x = 2

HJ= 3(2) + 8 =6 + 8 = 14

HI= 3(2) - 1 = 6 - 1 = 5

IJ = 3(2) + 3 = 6 + 3 = 9

4 0

2 years ago

Read 2 more answers

3. A line goes through the points (3,4) and (-3,6).

Galina-37 [17]

Answer:

Part a) The slope is $m=-\frac{1}{3}$

Part b) The equation in point slope form is $y-4=-\frac{1}{3}(x-3)$

Part c) The equation in slope-intercept form is $y=-\frac{1}{3}x+5$

Step-by-step explanation:

we have the points (3,4) and (-3,6)

Part a) What is the slope of the line?

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given points

$m=\frac{6-4}{-3-3}$

$m=\frac{2}{-6}$

$m=-\frac{1}{3}$

Part b) Write the equation of the line in point-slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{3}$

$point\ (3,4)$

substitute

$y-4=-\frac{1}{3}(x-3)$ ---> equation in point slope form

Part c) Write the equation of the line in slope-intercept form

$y=mx+b$

we have

$y-4=-\frac{1}{3}(x-3)$

Isolate the variable y

distribute right side

$y-4=-\frac{1}{3}x+1$

Adds 4 both sides

$y=-\frac{1}{3}x+1+4$

$y=-\frac{1}{3}x+5$ ---> equation in slope intercept form

7 0

2 years ago

What is 18.4 times 3.40 and the wprk showed

dusya [7]

Decimal division is super easy, let me show you how.

First, let's remove the decimal from both numbers. We have 184 and 340. Now let's multiply those two numbers.

184*340 = 62560.

Now, we need to figure out how many decimal places are in the original decimals. 18.4 has one decimal place, and 3.4 has one decimal place. (We don't count zeros at the end of a decimal as a decimal place.)

Now that we've figured out that there was a total of two decimal places, there can only be two decimal places in the answer. Let's take the 62560 that we got, and put a decimal in it. Remember, only two decimal places.

If there's only two decimal places in 62560, it would look like this: 62.56 (Remember, zeros at the end of a decimal does not count as a decimal place!)

There's your final answer. 62.56.

Hope this explanation helped you out. :)

7 0

2 years ago

Altlantic Auditorium has 1500 seats. Tickets were sold for 900 of the seats. for what percent of the seats were tickets sold?

muminat

60%, 900/1500 would be .6 and in terms of percent would be 60.

3 0

3 years ago

What is the linear equation for 3x+2y=62

scZoUnD [109]

In this formula :

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x+2y-62 = 0 and calculate its properties

Notice that when x = 0 the value of y is 31/1 so this line "cuts" the y axis at y=31.00000

y-intercept = 62/2 = 31

When y = 0 the value of x is 62/3 Our line therefore "cuts" the x axis at x=20.66667

x-intercept = 62/3 = 20.66667

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 31.000 and for x=2.000, the value of y is 28.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 28.000 - 31.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -3.000/2.000 = -1.500


1.Slope = -3.000/2.000 = -1.500

2.x-intercept = 62/3 = 20.66667

3.y-intercept = 62/2 = 31

I got sources from a few websites so excuse if something is weird/wrong.

4 0

2 years ago