Answer:
12x -y = -87
Step-by-step explanation:
You can start with the 2-point form of the equation of a line and manipulate it to give you the standard form.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (-9 -3)/(-8 -(-7))(x -(-7)) +3
y = (-12/-1)(x +7) +3
y = 12x +84 +3
-12x +y = 87 . . . . . subtract the x-term
12x -y = -87 . . . . . . make the leading coefficient positive (per standard form)
X=5/2,x=2
i cant explain it but if you got to symbolab.com and input the equation it will solve and show you the steps
3
x
+
2
y
>
24
3
x
+
2
y
>
24
Solve for
y
y
.
Tap for more steps...
y
>
−
3
x
2
+
12
y
>
-
3
x
2
+
12
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
3
2
-
3
2
Y-Intercept:
12
12
Graph a dashed line, then shade the area above the boundary line since
y
y
is greater than
−
3
x
2
+
12
-
3
x
2
+
12
.
y
>
−
3
x
2
+
12
y
>
-
3
x
2
+
12
Answer:
After 7 hours Tevin will catch Enrique
Step-by-step explanation:
We have given speed of Enrique is 20 mph
Tevin left traveling after 2 hours of Enrique
Speed of Tevin is 28 mph
When Tevin catches Enrique will cover same distance
Let Enrique is traveling for t hours
Then Tevin will travel for t-2 hours
We know that distance = speed × time
So 


t = 7 hours
So after 7 hours Tevin will catch Enrique