Using complete sentences, explain how to find the equation of the line, in standard form and slope–intercept form, passing through (–1, 5) and (1, 9). Also compare the benefits of writing an equation in standard form to the benefits of writing an equation in slope–intercept form.

Question

anonymous · Answer

ok we need a point and the slope

Let's find the slope: 
y2-y2/x2-x1
9-5/1+1
m = 2

point slope formula: y - y1 = m(x-x1)
                              y - 9 = 2(x - 1)
                              y = 9 + 2x - 2
  
y = 2x + 7

anonymous · Answer

Let me know if you need clarification

superhelp101 · Answer

I understand. What's the standard form?

anonymous · Answer

And the benefits: slope intercept form shows the y-intercept
point-slope form shows a point on the graph

anonymous · Answer

y - 9 = 2(x-1) is in point-slope form
and y = 2x + 7 is slope-intercept form

superhelp101 · Answer

but it asks for standard and slope-intercept

superhelp101 · Answer

is that like ax+by=c ?

anonymous · Answer

O didn't catch that. It's ax + by + c = 0
So that would be 2x - y + 7 = 0

anonymous · Answer

benefits in writing in standard form: you can clearly see the values of a b and c which can help in certain cases

superhelp101 · Answer

oh okay! thank you :))

anonymous · Answer

no problem at all

superhelp101 · Answer

you're the best |dw:1406088283850:dw|