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ioda
3 years ago
12

Write the equation of the line that passes through the given points. ​(0​,2​) and ​(4​,16​)

Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0
The equation format for a straight line is y = mx + b, where m is the slope and b is the y-intercept, the value of y at x = 0. The slope is the rate of change of the line as x changes values. It is also termed the "rise over the run," of the difference in the value of y as x is changed.

We can calculate the rise/run from the two points. (0,2) and (-4,5). The rise is the difference between the two y values (5 - 2 = 3) and the run the difference in the x values (-4 - 0 = -4). Rise/run is therefore -3/4. This is "m" in the equation.

y = -(3/4)x + b

We need to find b. Input one of the points, (0,2) and solve for b.

2 = -(3/4)*0 + b
b = 2 (the line crosses the y axis when x = 0).

The full equation becomes:

y = -(3/4)x + 2
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bagirrra123 [75]

Answer:

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Step-by-step explanation:

y - 9 = -3/4 (x-8)

y-9 = -3/4x -6

y = -3/4x - 6 + 9

y = -3/4x + 3

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