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Write the equation of the line from the given information. through (5,-3) & (2,-4)

User Neoweiter
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Answer:

Explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, (5,-3) and (2,-4). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (2,-4) and going to (5,-3):

Rise = (-3 - (-4)) = 1

Run = (5 - 2) = 3

Rise/Run (slope) = 1/3

The equation becomes y = (1/3)x + b

We can find b by entering either of the two given points and solving for b. I'll pick (2,-4):

y = (1/3)x + b

-4 = (1/3)*(2) + b

-4 = 2/3 + b [Now you can see why I chose (6,-3)]

b = -4 2/3

The equation is y = (1/3)x - 4 2/3

Check this with a DESMOS graph (attached).

Write the equation of the line from the given information. through (5,-3) & (2,-4)-example-1
User Insict
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