Write the slope-intercept (y = mx + b) form of the equation from the information given.

The line goes through the points (1/2, 3/2) and (-1/4, 5/4)

I really don't know how to do this problem, can someone please show me how?

1 answer

Same type as your previous ones....

ok, I'll do it because of the fractions, but notice the steps are exactly the same

slope = (5/4 - 3/2) / (-1/4 - 1/2)
= 1/3

so the equation is y = (1/3)x + b
sub in your first point (1/2 , 3/2)

3/2 = (1/3)(1/2) + b
3/2 - 1/6 = b
b = 4/3

y = (1/3) x + 4/3