Question

passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to ?

Answer 1

hint:
equation for the line which passes at point A and at point B, is:
\[\Large \frac{{x - x1}}{{{x_2} - {x_1}}} = \frac{{y - {y_1}}}{{{y_2} - {y_1}}}\]
where A=(x1,y1) and B=(x2,y2)
Now you have to substitute the coordinates of both points A and B, in order to to write the corresponding equation

Answer 2

i have no idea im clueless

Answer 3

your exercise asks for the equation of the line parallel to the line which passes at points A and B, right?

Answer 4

yes

Answer 5

so, we have to write the equation which passes at point A and B, first

Answer 6

ok

Answer 7

in order to do that, you have to substitute the coordinates of your points A and B into the equation above

Answer 8

ok

Answer 9

please try!

Answer 10

haha im trying but i dont understand the equation

Answer 11

ive never seen it like that

Answer 12

the question asks
line ab passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to line ab ?

Answer 13

ok!
Here is the procedure:
we have this:
\[\Large \begin{gathered}
{x_1} = - 3,\quad {x_2} = - 6 \hfill \\
{y_1} = 0,\quad {y_2} = 5 \hfill \\
\end{gathered} \]

Answer 14

ok

Answer 15

i need like help fast class ends in 5 mins and i have 1 more question after
so i wrote the equation from your thing now what?

Answer 16

now, I substitute those value into my equation above, and I get:
\[\Large \frac{{x - \left( { - 3} \right)}}{{ - 6 - \left( { - 3} \right)}} = \frac{{y - 0}}{{5 - 0}}\]

Answer 17

yes i got that

Answer 18

now I can simplify as below:
\[\Large \begin{gathered}
\frac{y}{5} = \frac{{x + 3}}{{ - 6 + 3}} \hfill \\
\hfill \\
\frac{y}{5} = \frac{{x + 3}}{{ - 3}} \hfill \\
\hfill \\
y = - \frac{5}{3}\left( {x + 3} \right) \hfill \\
\end{gathered} \]

Answer 19

parallel to that is?

Answer 20

no, the requested line, being parallel to that line has to have the same slope, in other words the slope of the requested parallel line is:
\[\Large m = - \frac{5}{3}\]

Answer 21

since parallel lines have the same slope

Answer 22

both lines have the same slope m= -5/3