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adoni [48]
2 years ago
12

Select the correct answer. What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slop

e of `3/4`? A. `y = -(3)/(4) x -(1)/(4)` B. `y = 3/4 x +(1)/(4)` C. `y = 3/4 x -(31)/(4)` D. `y = 3/4 x +(31)/(4)`
Mathematics
2 answers:
timofeeve [1]2 years ago
8 0

Answer:

y = (3/4)x -31/4
The answer is C

Step-by-step explanation:

no

velikii [3]2 years ago
4 0

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = 3/4x - 7.75}

-------------------------------------------------------------------------------------------------------------

Given:  \textsf{Passes through (5, -4) with a slope of 3/4}

Find:  \textsf{The equation in slope-intercept form}

Solution:  In order to determine the equation we need to first plug the values into the point-slope form, simplify, distribute, and solve for y to get our final result.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - (-4) = 3/4(x - 5)}

<u>Simplify the expression and distribute</u>

  • \textsf{y + 4 = 3/4(x - 5)}
  • \textsf{y + 4 = (3/4 * x) + (3/4 * -5)}
  • \textsf{y + 4 = 3/4x - 3.75}

<u>Subtract 4 from both sides</u>

  • \textsf{y + 4 - 4 = 3/4x - 3.75 - 4}
  • \textsf{y = 3/4x - 3.75 - 4}
  • \textsf{y = 3/4x - 7.75}

The equation in slope-intercept form that follows the information that was provided is y = 3/4x - 7.75

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