Question

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?

Answers

  1. 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

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  2. Answer:
    the x-value is 18
    Step-by-step explanation:
    Ok so the slope-intercept form can be represented as: y=mx+b where m=the slope, and b=y-intercept
    we’re given the slope, so we can form the equation: y=5x+b, 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
    1=5(2)+b
    Multiply:
    1=10+b
    Subtract 10 from both sides
    -9=b
    Now we have the full equation:
    y=5x-9
    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
    81 = 5x-9
    Add 9 to both sides
    90=5x
    Divide both sides by 5
    18=x

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