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storchak [24]
3 years ago
9

A line passes through (4, 5) and (8, 9). Which equation best represents the line?

Mathematics
2 answers:
geniusboy [140]3 years ago
6 0
Y=x+1 is the anwser
to the question
S_A_V [24]3 years ago
4 0
Here, Coordinates: (4, 5) & (8, 9)
Calculation of Slope, m = y2-y1 / x2-x1
m = 9-5 / 8-4
m = 4 / 4
m = 1

Now, Take any coordinate: 
y - y1 = m(x - x1)
y - 5 = 1(x - 4)
y - 5 = x - 4
y = x + 1

In short, Your Answer would be: y = x + 1

Hope this helps!
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Please find the slope and the equation.<br><br>and step by step explanation PLEASE.​
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Answers:

  • slope = 1
  • equation is y = x-4

============================================

Explanation:

Two points on this diagonal line are (0,-4) and (1,-3)

Let's apply the slope formula to get the following

m = (y2-y1)/(x2-x1)

m = (-3-(-4))/(1-0)

m = (-3+4)/(1-0)

m = 1/1

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The slope is 1. We can think of it as 1/1 to indicate "go up 1, and over to the right 1". In other words, slope = rise/run = 1/1.

----------

Note how the graph crosses the y axis at -4, so this is the y intercept.

Since the y intercept is -4, this means b = -4

So with m = 1 and b = -4, we go from y = mx+b to y = 1x+(-4) which simplifies to y = x-4

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