So,...
the slope intercept form is y = mx+b
the m is the slope, and the b is the coordinate that intercepts the y-axis

so to start you off, 4x - 9y = 2

4x - 9y = 2
-4x - 4y

-9y = -4y +2

divide both sides by -9

<u>-9y </u>= <u>-4y + 2</u>
-9 -9

y = 4/9 x - 2/9

6 0

3 years ago

Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the dista

Yuki888 [10]

$d=v \cdot t$
d - distance
v - speed
t - time

Car A:
$v_1 \\
t_1=2 \\
d_1=v \cdot 2=2 v$

Car B:
15 mph faster than car A
$v_2=v_1+15 \\ t_2=1.5 \\ d_2= (v_1+15) \cdot 1.5=1.5v_1 + 22.5$

Both cars traveled equal distances:
$d_1=d_2 \\
2v_1 = 1.5v_1+22.5 \\
2v_1-1.5v_1=22.5 \\
0.5v_1=22.5 \\
v_1=45 \\ v_2=45 + 15 =60$

Car B traveled at the speed of 60 mph.

6 0

3 years ago