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PLEASE HELP DUE IN 30 MINUITES
The slope of a line is 5. A (2, 1) is a point on the line. Another point, B, on the line has y=81. What is the x-value at this point, as denoted by d?

Respuesta :

seokjinnie777

Answer:

the x-value is 17

Step-by-step explanation:

slope = (y2 - y1) / (x2 - x1) = (81 - 1) / (x - 2) = 5

80 / (x - 1) = 5

x - 1 = 16

x = 17

hope this helps! <3

edisonlara1212

Answer:

the x-value is 18

Step-by-step explanation:

Ok so the slope-intercept form can be represented as: [tex]y=mx+b[/tex] where m=the slope, and b=y-intercept

we're given the slope, so we can form the equation: [tex]y=5x+b[/tex], but we still don't know the y-intercept.

We can solve for this using the point given, which we can substitute in known values:

substituting in 2 as x, and y as 1

[tex]1=5(2)+b[/tex]

Multiply:

[tex]1=10+b[/tex]

Subtract 10 from both sides

[tex]-9=b[/tex]

Now we have the full equation:

[tex]y=5x-9[/tex]

So, now we're given another point, but this one is incomplete, we just have the y-value, so the point can be represented as (x, 81)

We can substitute in this known value to solve for x

[tex]81 = 5x-9[/tex]

Add 9 to both sides

[tex]90=5x[/tex]

Divide both sides by 5

[tex]18=x[/tex]

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