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stepladder [879]
3 years ago
13

Write an equation in the form of y=mx + b that represents a linear relationship with a slope of 2 and a y-intercept of 7.

Mathematics
1 answer:
podryga [215]3 years ago
5 0

Answer:

y = 2x + 7

The m in the equation is the slope and the b is always the y-intercept.

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0.2 if 1 Mile is 5 Minutes then every 0.1 mile is 30 seconds so 1 minute would be 0.2
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3 years ago
Identify the equation in slope intercept from that has a slope of 2 and goes through the point (4, 6).
Mars2501 [29]

Answer:

  y = 2x−2

Step-by-step explanation:

You are given a slope and a point, so you can write the equation using point-slope form:

  y -k = m(x -h) . . . . . . a line with slope m through point (h, k)

Putting in the numbers given, you have ...

  y -6 = 2(x -4)

  y = 2x -8 +6 . . . . eliminate parentheses, add 6

  y = 2x -2 . . . . . . . collect terms.

__

You know that the slope is the coefficient of x, so the first choice is eliminated right away. Trying the point values in the other equations shows you that they only work for the last choice, as shown above.

  • 2·4 +14 = 22 ≠ 6 . . . . second choice doesn't work
  • 2·4 +6 = 14 ≠ 6 . . . . . third choice doesn't work
  • 2·4 -2 = 6 . . . . . . y = 2x-2 is the equation that works
5 0
3 years ago
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Which is the equation of a line that has a slope of 1 and passes through point (5, 3)? A.y = x – 2
gizmo_the_mogwai [7]
Filling in the given values in point-slope equation
  y = m(x -x₁) +y1
you have
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Two cyclists start from 98 miles apart and begin racing toward each
kati45 [8]

The speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Let the speed of one bicyclist=x mph

Let the speed of the other bicyclist=(x+3) mph

Hence:

Speed of one bicyclist:

3x+3(x+3)+2=98

3x+3x+9+2=98

6x=87

Divide both side by 6x

x=87/6

x=14.5 mph

Speed of the other bicyclist:

x+3 mph

14.5 mph+3 mph

=17.5 mph

Inconclusion the speed of one bicyclist was 14.5mph, speed of the other bicyclist was 17.5mph.

Learn more here:

brainly.com/question/18839894

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2 years ago
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