Question

Find the equation of the line which passes through the points (5, –3), (9, –3) in the point–slope form

Answer 1

what is the slope? (hint: the y coordinates are the same for both pairs)

Answer 2

I don't get it!

Answer 3

from \(5\) to \(9\) in the \(x\) direction is right 4 units
how far is it from \(-3\) to \(-3\) in the \(y\) direction ?

Answer 4

slope formula:
\[m=\frac{ \Delta y }{ \Delta x } =\frac{ y _{2} - y _{1} }{ x _{2} -x _{1}}\]

Answer 5

datalg2 hats after that?

Answer 6

slope form:
\[y= mx + b\]

Answer 7

what is b?

Answer 8

y-intercept of the line, you need to solve for that using the given points.

Answer 9

all this is correct, but rather silly for this question
the \(y\) coordinates are the same
that means the slope is 0 since the line neither goes up nor goes down
that means it is a constant, i.e. \(y=-3\)