Write an equation in slope-point form for the line that passes through A(1, 4) and B(6, 8). Then write in slope-intercept form. Can someone help me with this?

Question

zale101 · Answer

@AngelWu have you tried solving the problem? :)

anonymous · Answer

@Zale101 I first tried to find the slope from the two points given and I got 4/5 but I don't know how to write it into slope-point form

texaschic101 · Answer

slope = (8 - 4) / (6 - 1) 
slope(m)  = 4/5
well....you got the slope right.

Now use point slope formula:
y - y1 = m(x - x1)
slope(m) = 4/5
use either of your points...(1,4)...x1 = 1 and y1 = 4
now sub
y - 1 = 4/5(x - 4) <=== point slope form

Now we need slope intercept form y = mx + b
y - 1 = 4/5(x - 4) --- distribute through the parenthesis
y - 1 = 4/5x - 16/5 -- add 1 to both sides
y = 4/5x - 16/5 + 1
y = 4/5x - 16/5 + 5/5
y = 4/5x - 11/5 <=== slope intercept form

anonymous · Answer

Thank you! @texaschic101