Question

graph the line passing through the given point and having the given slope. Give the slope-intercept form of the equation of the line if possible.
(1,-3) m=-2/5
Slope intercept form of the equation of the line. Can anyone help?

Answer 1

use the almighty point slope formula
\[y-y_1=m(x-x_1)\] with
\[x_1=1,y_1=-3, m =-\frac{2}{5}\]

Answer 2

if you write it out exactly you get
\[y-(-3)=-\frac{2}{5}(x-1)\]

Answer 3

distributive law
\[y+3=-\frac{2}{5}x+\frac{2}{5}\]

Answer 4

and finally subtract 3 from both sides to get
\[y=-\frac{2}{5}x-\frac{13}{5}\]

Answer 5

Ok, how did you get 13/5. I am having the worst time figuring that part out!

Answer 6

Are you there?

Answer 7

yeah it is fractions

Answer 8

first of all it is not
\[\frac{13}{5}\] it is \[-\frac{13}{5}\]

Answer 9

is it clear where the \[\frac{2}{5}\] came from? because the next step was just
\[\frac{2}{5}-3=\frac{2}{5}-\frac{15}{5}=\frac{2-15}{5}=\frac{-13}{5}\]

Answer 10

I'm not trying to aggravate you, I just have a hard time here. Why did it end up being -15/5?

Answer 11

Are you there?

Answer 12

Can you help me with this last question?