Part 1: Using complete sentences, explain how to find the equation of the line, in standard form and slope–intercept form, passing through (2,6) and (-4, 8). (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 (2,6) and (-4, 8). (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)

campbell_st · Answer

step 1 find the slope of the line using the ordered pairs 

(2, 6) and (-4, 8)

can you do that..?

anonymous · Answer

whats the formula again?

campbell_st · Answer

its simply  m = rise/run

or

$$m=\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$$

anonymous · Answer

so -3 right?

campbell_st · Answer

don't that that quite works...

anonymous · Answer

whoops. flipped it. -2/3

campbell_st · Answer

thats still not quite right

(8 - 6)/(-4 -2) = -2/6   or - 1/3

campbell_st · Answer

now given a point (2, 6) and a slope m = -1/3 you need to find the equation of the line...

campbell_st · Answer

any ideas on that to do...there are lots of choices...

anonymous · Answer

plug it into the formula Y=MX+B right?

campbell_st · Answer

ok... what you you get

anonymous · Answer

what would B be?

campbell_st · Answer

ok so you have the equation 

y = -1/3 x + b

use the point (2, 6), substitute x = 2 and y = 6 into the equation to find b

anonymous · Answer

B=9

campbell_st · Answer

wow... 

6 = -1/3 * (2) + b

6 = -2/3 + b

b = 20/3

does that make sense...?

anonymous · Answer

I see what i did wrong yeah

campbell_st · Answer

so the equation of the line in slope intercept form is

y = -1/3 x + 22/3 

I'll let you do the standard form

anonymous · Answer

-1x -3y + 20