Question

Write the equation of a line in slope intercept form that passes through (2,4) and (5,4).

Answer 1

so, what would be the slope of it?

Answer 2

how would i find it?

Answer 3

y2-y1/x2-x1

Answer 4

well
\(\large m=\frac{y_2-y_1}{x_2-x_1}\)

Answer 5

plug in and get the slope

Answer 6

then the slope would be 0/3???

Answer 7

i guess yea,

Answer 8

yes

Answer 9

0/3 = 0

Answer 10

so the slope is 0
now grab that and plug it in the point-slope form, with either value, say we'll pick (2,4)
plug them in, m = slope
\(\large y-y_1=m(x-x_1)\)

Answer 11

$$
y-y_1=m(x-x_1)\\
\text{slope of "0" and }(\color{blue}{2}, \color{blue}{4})\\
y-\color{blue}{4}=0(x-\color{blue}{2})
$$

Answer 12

so, what would that give you?

Answer 13

if you solve for "y"

Answer 14

4....?

Answer 15

y-4 = 0
y = 4
yes, is a flat horizontal line
let's grab the 2 points given and graph it

Answer 16

???

Answer 17

the equation of the line is y = 4

Answer 18

and is in "slope intercep" form
or
y = mx+b form

y = 4
y = 0x + 4

Answer 19

Thank you so much!

Answer 20

yw