Question

Write the slope-intercept form of the equation for the line.



A. y = -5/8x + 1/2

B. y = 8/5x - 1/2

C. y = 5/8x + 1/2

D. y = 8/5x + 1/2

Answer 1

use the formula \[m=\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]

this is how you will solve for the slope

then use the formula \[y-y _{1}=m(x-x _{1})\] to solve for y-intercept which will in the end give you the slope-intercept form

Answer 2

the two points you have are (-4,4) and (4,3)

Answer 3

when you solve for it what will the answer be?

Answer 4

i have absolutely no idea i'm so confused

Answer 5

ok i will show you the steps

Answer 6

we know the formula of solving for the slope, m

m=\[m=\frac{ 3-(-2) }{ 4-(-4) }=\frac{ 3+2 }{ 4+4 }=\frac{ 5 }{ 8 }\]

that is our slope. You understand how i did that correct?

Answer 7

ok now you put it into the 2nd equation to solve for y-inntercept

\[y-(-2)=\frac{ 5 }{ 8 }(x-(-4))=y+2=\frac{ 5 }{ 8 }(x+4)\]

then you get
\[y+2=\frac{ 5 }{ 8 }x+\frac{ 5 }{ 2 }\rightarrow y=\frac{ 5 }{ 8 }x+\frac{ 1 }{ 2 }\]

understand how i did this?

Answer 8

yeah