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Find an equation of the line passing through the given points. Write the equation in function notation

Find an equation of the line passing through the given points. Write the equation-example-1
User Kim Ki Won
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1 Answer

7 votes

Explanation:

many greetings to your teacher, but that means you need it in slope-intercept form.

y = f(x) = ax + b

"a" being the slope, "b" being the y-intercept (the y-value when x = 0).

the slope is the ratio

y coordinate difference / x coordinate difference

when going from one point on the line to another. the direction is irrelevant.

it is just important to use the same direction for x and y.

when going from e.g. from (3, 1) to (4, -2) we get

x changes by +1 (from 3 to 4).

y changes by -3 (from 1 to -2).

so, the slope ("a") is -3/+1 = -3.

to get "b" we use one of the given points with the found "a" in the equation and solve for b. I use (3, 1) :

1 = -3×3 + b = -9 + b

10 = b

so, or equation is

f(x) = -3x + 10

User Rashidnk
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