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Find an equation for the line that passes through the points (-5,-5) and (1 ,5)

1 Answer

4 votes

Answer:

y = 5/3x + 10/3

Explanation:

An equation of a line can be represented by y = mx + b where m is the slope and b is the y-intercept.

To find the slope, we can perform rise/run with the 2 points we've been given.

Slope m = (5-(-5))/(1-(-5)) = 10/6 = 5/3

Plugging this back in, we get y = 5/3x + b

To find b, we can substitute one of the given points into this equation and solve. Let's use the point (1,5) and substitute x as 1 and y as 5.

5 = 5/3 * 1 + b

5 - 5/3 = b

(15 -5)/3 = b

10/3 = b

Now plugging b into our equation, we have our final result:

y = 5/3x + 10/3

Hope this helps :)

User Josh Hudnall
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