Question

With the equation of a line through the given points or through the given point with the given slope (Algebra I)?
(5,7), (6,8)

Answer 1

**write

Answer 2

Both slope interject and point slope form.

Answer 3

intercept**

Answer 4

you got the slope?

Answer 5

No

Answer 6

you know how to find it?

Answer 7

Not really :/ rate of change??

Answer 8

yeah first we can do it in our heads, then we can do it the donkey way
from 5 to 6 is one unit right in the x direction
from 7 to 8 is one unit up in the y direction
right one, up one slope is one

Answer 9

so the slope is 1

Answer 10

else we compute
\[\frac{y_2-y_1}{x_2-x_1}=\frac{8-7}{6-5}=\frac{1}{1}=1\]

Answer 11

yeah it is \(1\) now use
\[y-y_1=m(x-x_1)\] with either point as \((x_1,y_1)\) and \(m=1\)

Answer 12

kk can you finish it with me?

Answer 13

plug one in to the equation y-y1=m(x-x1)

Answer 14

sure we will put the first pair of numbers in the point slope formula
\[y-7=1(x-5)\] of course we don't need the 1, so it is really
\[y-7=x-5\]

Answer 15

solve for \(y\) by adding 7 to both sides

Answer 16

for y1 and x1 use any one of the cordinates