Posted by **Lucy** on Sunday, November 3, 2013 at 7:32pm.

Find the y-intercept of the two coordinates ( 2, -5) and ( 6, 3). Please help me with this question and please explain to me and show me how to find Each step to solving the y- intercept. Thank you 😄

- Algebra 1 -
**bobpursley**, Sunday, November 3, 2013 at 7:39pm
y intercept is when x is zero.

y=mx+b

point 1 -5=2m+b

ponit 2 3=6m+b

subtract second equation from first

-8=-4m

m=2, putting that in the first equation

-5=-4+b or b=-1

y=2x-1

so for y intercept, x is zero, or y=-1

- Algebra 1 -
**Lucy**, Sunday, November 3, 2013 at 7:43pm
Thanks but my teacher said that the answer is y= 2x - 9

- Algebra 1 -
**Reiny**, Sunday, November 3, 2013 at 8:16pm
slope = (3+5)/(6-2) = 8/4 = 2

so the equation is y = 2x + b

plug in one of the points: (6,3)

3 = 2(6) + b

-9 = b

so y = 2x - 9

Since this is in the y-intercept, slope form , and b is the y-intercept

there it is!!

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