Question

PLEASE HELP ME I WILL GIVE OUT BEST ANSWER AWARD PLEASE.


the cost of a taxi ride depends on the distance traveled. you paid $8.50 for a 3 mile ride while your friend paid $18.50 for an 8 mile ride. What is the equation in point slope form?

Answer 1

cost depends on how far you've gone,
and if cost DEPENDS then it's going to be the y-value
which leaves miles as the X-value

X Y
3miles $8.50
8miles $18.50

remember slope is m
\[m = \frac{ y_2 - y_1 }{ x_2 - x_1 }\]
lets have y_2 = 18.5 and x_2 = 8,

can you plug in these values and the other values to find the slope?

Answer 2

okay my slope was 10/5 and simplified it to 2 now what do i do ? @DemolisionWolf

Answer 3

good,
so now we will focus on putting it into the 'slope-intercept' form, which is
y = mx+b
we already know what m is 2
and we can use either (3, 8.50) or (8, 18.5) for x and y in the equation, so all that is left is to find what b is
so we will do this by plugging in m, x, and y into the equation
y = mx+b
then solve the equation for b
can you do that?

Answer 4

how do i do that @DemolisionWolf

Answer 5

so it would be like this..
we know that:
m = 2
x = 3
y = 8.5

then we plug those numbers in the standard line equation of
y = m*x + b
so
8.5 = 2*3 + b

make sense now?
can you solve for b?

Answer 6

is it
8.5= 2(3) +b
-6 -6

b=2.5

Answer 7

yep good job!