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In Mathematics / Middle School | 2014-11-18

What is the slope-intercept form of the function that contains the points (5, 6) and (9, 14)?

\[ y = \_\_\_\_\_x + \_\_\_\_\_ \]

Asked by Briannagarrett2

Answer (2)

First let us find the slope of the line using the two points (5,6), (9,14) given. x1 = 5, y1 = 6, x2 = 9, y2 =14
m = (y2 - y1)/(x2 - x1). m = (14 - 6)/(9 - 5). m = 8/4 = 2. Therefore slope, m = 2.
Using y = mx + c. Slope = m, m = 2. y = 2x + c
Substituting any of the point (5,6) into the equation, x = 5, y = 6. 6 = 2(5) + c 6 = 10 + c 6-10 = c -4 = c c = -4. Substituting into y = mx + c, m =2, c = -4 Therefore y = 2x + (-4). y = 2x - 4. Cheers.

Answered by olemakpadu | 2024-06-10

The slope-intercept form of the function is y = 2 x − 4 . This is determined by calculating the slope from the given points and finding the y-intercept. The slope is 2, and the y-intercept is -4.
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Answered by olemakpadu | 2024-12-26

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