Part 1: Using complete sentences, explain how to find the equation of the line, in standard form and slope–intercept form, passing through (3, 6) and (–2, –4). (4 points)

Part 2: Compare the benefits of writing an equation in standard form to the benefits of writing an equation in slope–intercept form. (3 points)

Question

Part 1: Using complete sentences, explain how to find the equation of the line, in standard form and slope–intercept form, passing through (3, 6) and (–2, –4). (4 points)

Part 2: Compare the benefits of writing an equation in standard form to the benefits of writing an equation in slope–intercept form. (3 points)

anonymous · Answer

standard form is Ax +By = C; slope intercept form is y = mx + b

i would find the slope first
m = (-4-6)/(-2-3) = -10/-5 = 2

slope intercept form would be y = 2x + b
(-4 - b)/(-2-0) = 2; solve for b
-4-b= -4, b=0

y = 2x     Slope intercept
2x - y = 0       Standard form

anonymous · Answer

part 2:
im not entirely sure what would be considered benefits except in slope intercept you can see where x =0 intercepts the y axis and what the slope of the line is.
and in standard you have variables all on one side and constants on the other

anonymous · Answer

Dude, you are amazing. lol

anonymous · Answer

Thank you so very much!