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Rom4ik [11]
3 years ago
12

Describe two ways to graph the equation y-1=3/2(x-4)

Mathematics
1 answer:
irakobra [83]3 years ago
7 0
The given equation is in point-slope form.  The line that represents this equation passes through the point (4,1) and has a slope of (3/2).

One way to graph this quickly would be to plot the point (4,1).  Move 2 units to the right from this point, and then (without picking up your pen) 3 units up.  Plot a dot there.  Connect the 2 points with a straight line.
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Find the equation of line passing through points A (1, 3) and B (3, 7).
Sidana [21]

Solution:

To find the equation of line passing through points A (1, 3) and B (3, 7).

we know that, to derive the equation of a line we first need to calculate the slope of the line. Slope m of a line at points (x_{1} ,y_{1}) and (x_{2}, y_{2}) is given by - m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

Slope of the line at point A(1,3) and B(3,7)

m=\frac{7-3}{3-1}.

m=\frac{4}{2}.

m=2.

Equation of a line using a point and a slope , y-y_{1}= m(x-x_1)

y-3= 2(x-1)

y-3= 2x-2

y= 2x-2+3

y= 2x+1

The equation of line passing through points A (1, 3) and B (3, 7) : y= 2x+1

4 0
3 years ago
Anna wants to make 4 sets of curtains. Each set requires 5 1/8 yards of fabric. How much fabric does she need?
Nesterboy [21]
20 yards
take 5 1/8 and make that into 40/8 and then you will divide 40 into 8 and it = 5 so then you do 4x5=20

4 0
3 years ago
Read 2 more answers
Determine the measure of each indicated angle. Show all necessary steps!
Rasek [7]

a)

We know that a 4-sided polygon's angles add up to 360 degrees

so to find x:

360-(69+118+84)=89 degrees

b)

For a 4-sided polygon we also know that the outside angles add up to 360 degree.

so to find p:

360-(100+62+106)=92 degrees

Hope it helps!

3 0
2 years ago
The sum of two numbers is 62, and their difference is 8. What are the numbers
Lemur [1.5K]
Sum of two numbers is 62?
Let's call the two numbers a and b

let's find two same numbers that would add up to 62: 31.
31 + 31 = 62

since it said the difference is 8, we have to add 4 to one number and subtract 4 from another.
31 - 4 = 27
31 + 4 = 35

Therefore, the two numbers following the given rules are 27 and 35
7 0
3 years ago
Find the equation of the line in slope-intercept form. e through (−5, 6) with slope = 3
love history [14]

Answer:

Step-by-step explanation:

y - 6 = 3(x + 5)

y - 6 = 3x + 15

y = 3x + 21

5 0
3 years ago
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