Question

A line passes through (2, –1) and (8, 4).Write an equation for the line in point-slope form.
Rewrite the equation in standard form using integers

Answer 1

1. Find its slope
2. Express the line in point-slope form
3. Convert it to standard form

Answer 2

y + 1 = 5/6 (x + 2); –5x + 6y = –16
y – 2 =5/6 (x + 1); –5x + 6y = 17
y + 1 =5/6 (x – 2); –5x + 6y = –16
y – 1 = 5/6 (x – 2); –5x + 6y = 16

what would be the best answer ??

Answer 3

prior to finding the equation, let us fist f ind the gradient by using the formula (y2-y1/x2-x1) so the gradient will be m=5/6

now to obtain the equation let us use y-y1=m(x-x1)
lets use the coordinate (2, –1) and plug in the information
y-(-1)=5/6(x-2)

now lets clean up...what do we get?

Answer 4

wow thats alot of wok lol i was just hoping for a quick response

Answer 5

well u can see from your multiple answer options that 5/6 is consistent throughout the options therefore, that is one less thing for u to figure out......its a matter of u putting in the numbers in the equation y-y1=m(x-x1)

Answer 6

so what would be the right choice for the answer

Answer 7

y + 1 =5/6 (x – 2)