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 :)