Answer:
y=-3/2x+3
Step-by-step explanation:
The equation for slope intercept form is y=mx+b. The variable m stands for slope, and b stands for the y-intercept.
First, since there's an easy y-intercept to find, we can start from there! The line goes right across the y-axis at 3. 3 is the y-intercept. The equation looks like this now:
y=(?)x+3
Next, find the slope. The easiest way to do this is to look at the points the line goes straight through. These would be (0,3) and (2,0). Slope is written rise over run. If you look at the graph, from the point (2,0), you can find the next point, (0,3), by rising 3 and going over (running) -2, which is actually going backwards. So, as a fraction, the slope is -.
Another way to find slope is to find two points on the line. We can use the same points we used above again. To find slope with the two points, subtract the y's and then subtract the x's in the same order. Subtract the y's over the x's.
<u>0-3</u>=<u>-3</u> As you can see, we still got the slope as -.
2-0 2
When we plug in all of the numbers, the equation looks like this: y=-3/2x+3
I hope this helps you out!! Have a great day (*^▽^*)
Answer:
y= x-3
Step-by-step explanation:
The points are ;(0, -3), (5,2), (7,4), (10,7).
Plot the coordinates on a graph tool to visualize the graph
Select two points to find the slope ; take point (5,2) and (10,7)
m=Δy/Δx
Δy = 7-2=5
Δx=10-5 = 5
m=5/5 =1
The equation of the graph will be;
m= Δy/Δx
1=y-4/x-7
x-7 = y-4
x-7+4=y
x-3=y
y= x-3
Answer:
А(0/6;-2) и B(-5.6;17)
Step-by-step explanation:
(-2;4) поставь координаты место (x;y)
Например: 4=-3*(-2)+b, найдите b, а затем нарисуйте график.
Я отправила вам фото. Там всё написано и график тоже
Answer:
about 106 km
Step-by-step explanation:
The distance between the two towns can be estimated several ways. In the attachment, we chose to measure the angles on the map. Using the law of sines, we can estimate the unknown distance.
The distance can also be estimated using the Tounouse-Avaria distance as a ruler. For best results, that ruler would need to be subdivided to an appropriate level.
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<h3>angle measures</h3>The angles in the triangle can be measured using a protractor or some other tool. The attachment shows the results from a geometry program:
The law of sines tells us the distances are proportional to the sines of the opposite angles:
TM/sin(TAM) = TA/sin(TMA)
TM = sin(24°)×(250 km)/sin(107°) ≈ 106.3 km
The distance from Tounouse to Mt. Monotti is estimated to be about 106 km.
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<em>Alternate solution</em>
Using a compass or dividers to project the TM distance onto TA, we find it is between 0.4 and 0.5 of the TA distance. The difference between 2×TM and TA can be estimated to be about 0.4×TM. That is, ...
TM ≈ TA/2.4 ≈ (250 km)/2.4 ≈ 104.2 km
This estimate is consistent with the one found using angle measures.
