Part 1: 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).

Part 2: Compare the benefits of writing an equation in standard form to the benefits of writing an equation in slope–intercept form.

Question

Part 1: 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). 

Part 2: Compare the benefits of writing an equation in standard form to the benefits of writing an equation in slope–intercept form.

anonymous · Answer

I think I can do part one on my own but im lost on part two. I never use standard form....

jdoe0001 · Answer

standard form
ax - b = 5

slope-intercept form
b = ax - 5

anonymous · Answer

thank you, but i just don't know any benefits of using standard form

anonymous · Answer

@Jamierox4ev3r can you help me, since you know about standard form?

jamierox4ev3r · Answer

yes sure

anonymous · Answer

@Jamierox4ev3r

jamierox4ev3r · Answer

lol srry my laptop is crappy

jamierox4ev3r · Answer

the standard form equation is AX + BY=C

anonymous · Answer

its cool my computer tends to crash a lot so it looks like im offline when im really still here just yelling at my monitor

anonymous · Answer

okay, I follow so far

jamierox4ev3r · Answer

in order to put in standard form, you must calculate the slope and y-intercept. Can you do that?

anonymous · Answer

yeah gimme a sec

anonymous · Answer

slope is 2
y-intercept is 7

jamierox4ev3r · Answer

good!

jamierox4ev3r · Answer

you would then set up your equation y=2x+7 and multiply all the terms by 2

anonymous · Answer

why multiply?

jamierox4ev3r · Answer

it makes everything have a common factor in case you convert it back to the other form

anonymous · Answer

oh okay thanks!

jamierox4ev3r · Answer

then when you multiply, it adds up to 2y=4x+14

jamierox4ev3r · Answer

quickly manipulate it and you get 2y-4x=14

jamierox4ev3r · Answer

that is standard form :)

anonymous · Answer

okay I see that, awesome!

anonymous · Answer

but is still don't know how to do part two of this problem because I don't know any benefits of standard form

jamierox4ev3r · Answer

ah that i can do too :)Well, the advantage that the standard form has over slope-intercept 
form is that EVERY linear equation can be written in standard form, 
but not every linear equation can be written in slope-intercept form.

jamierox4ev3r · Answer

do you understand?

anonymous · Answer

when can an equation not be written in slope intercept?

jamierox4ev3r · Answer

when the slope is vertical/ unidentified

anonymous · Answer

oh okay, thank you soooo much!