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In Mathematics / Middle School | 2014-11-20

What is the slope-intercept form of the function described by this table?

| x | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| y | 2 | 7 | 12 | 17 |

\( y = mx + b \)

Find \( m \) and \( b \) to complete the equation.

Asked by Jellieroll2000

Answer (2)

For every change of x by 1, y increases by 5.
So the gradient of the line is 5 .
To find the y-intercept:
y = mx + c 2 = 5(1) + c 2 = 5 + c c = -3
So the equation of the line is y = 5x - 3

Answered by ollieboyne | 2024-06-10

The slope-intercept form of the function is y = 5 x − 3 . The slope (m) is 5 and the y-intercept (b) is -3, derived from the values in the table. This shows the relationship between x and y for the function described.
;

Answered by ollieboyne | 2024-12-26

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