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lesantik [10]
2 years ago
7

Write the equation for this line in slope intercept form

Mathematics
1 answer:
elena-s [515]2 years ago
5 0

Answer:

y = \frac{3}{2}x + 2

Step-by-step explanation:

Slope-intercept form is y = mx + b with m as the slope and b as the y-intercept.

The y-intercept is the point where the line intersects the y- axis.

y = mx + 2

The equation to find slope is \frac{y1-y2}{x1-x2}       Two points from the line: (0,2) (4,8)

\frac{8-2}{4-0} = \frac{6}{4} = \frac{3}{2}

y = \frac{3}{2}x + 2

You might be interested in
Graph a line that contains the point (-5,-3) and has a slope of -2
Tpy6a [65]

Answer:

-->

Step-by-step explanation:

Graph (-5,-3) and use the slope, -2, to find another point. -2 can also be written as -\frac{2}{1}

\frac{rise}{run} =\frac{-2}{1} and  \frac{rise}{run} =\frac{2}{-1} **

Use both. This works because either way, they will lie on the same line with the same slope. So, starting at (-5,-3), go down two points (-)* and to the left 1 (+)*, then, starting at (-5,-3) again, go up two points (+)* then to the right 1 point (-)*.

* If the number is negative, you either go down or to the right. If the number is positive, you go up and to the left.

**Rise over run refers to the change in the y-axis and the change in the x-axis: \frac{rise}{run} =\frac{y-axis}{x-axis}. Only one number is negative because, if both were negative, that would make a positive number, but the slope is -2, not 2.

Another way you could do this is by finding points first. All you need to do is turn the slope into a "point". Remember, 2 is the y and 1 is the x:

-2=-\frac{2}{1} = (1,-2) and (-1,2)

Then, using (-5,-3) and your new points, add them separately:

(-5,-3)+(1,-2)\\(-5+1,-3+(-2))\\(-5+1,-3-2)\\(-4,-5)

(-4,-5) is one point

(-5,-3)+(-1,2)\\(-5+(-1),-3+2)\\(-5-1,-3+2)\\(-6,-1)

(-6,-1) is another point. Connect the three points. You can check your work on the graph:

3 0
3 years ago
Find v(2) show all steps <br> 2(v) = -10x
katen-ka-za [31]

Answer:

Step-by-step explanation:

Solving For V.

2v=−10x

You need to divided both sides by 2.

2v /2  =  −10x /2

v = −5x

Answer:

v = −5x

7 0
3 years ago
A specific aircraft can ascend 1,635 meters in 15 seconds.<br> What is the rate of ascent?
Snezhnost [94]

Answer:

109m/s

Step-by-step explanation:

You idiot sandwich

8 0
2 years ago
Please help if you can thanks ^^
Neko [114]

Given:

AD is an angle bisector in triangle ABC. m\angle CAB=44^\circ, m\angle ACB=72^\circ, m\angle ABC=64^\circ.

To find:

The value of m\angle ADC.

Solution:

AD is an angle bisector in triangle ABC.

m\angle CAD=m\angle BAD=\dfrac{m\angle CAB}{2}

m\angle CAD=m\angle BAD=\dfrac{44^\circ}{2}

m\angle CAD=m\angle BAD=22^\circ

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

Using angle sum property in triangle CAD, we get

m\angle CAD+m\angle ADC+m\angle ACB=180^\circ

22^\circ+m\angle ADC+72^\circ=180^\circ

m\angle ADC+94^\circ=180^\circ

m\angle ADC=180^\circ-94^\circ

m\angle ADC=86^\circ

Therefore, the angle of angle ADC is 86^\circ.

3 0
3 years ago
Find the mode of the data set: 37, 42, 39, 44, 47, 38, 42, 45, 49, 35
Snezhnost [94]

Answer:

42

Step-by-step explanation:

mode is the most common number

6 0
3 years ago
Read 2 more answers
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