Julian3003 Julian3003
  • 18-11-2019
  • Mathematics
contestada

A line has a slope of 3 and passes through the points (12,5). What is the equation of this line?

Respuesta :

TaeKwonDoIsDead
TaeKwonDoIsDead TaeKwonDoIsDead
  • 30-11-2019

Answer:

[tex]y=3x-31[/tex]

Step-by-step explanation:

The equation of a line is given as:

[tex]y=mx+b[/tex]

Where

m is the slope

b is the y intercept (y-axis cutting point)

First, we see that the slope is given as 3, so,

m = 3

Also, the point is given as (12,5)  [(x,y)], so we can say:

x = 12

y = 5

Now, we can write (with slope = 3):

y = 3x + b

Now plugging in x, and y values:

5 = 3(12) + b

5 = 36 + b

b = -31

Thus, equation of line is:

[tex]y=mx+b\\y=3x-31[/tex]

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