Answer:
The equation of the line would be y = -3/2x + 9
Step-by-step explanation:
In order to solve this, start by finding the slope of the original line. You can do this by solving for y.
2x - 3y = 12
-3y = -2x + 12
y = 2/3x - 4
Now that we have a slope of 2/3, we know that the perpendicular slope is -3/2 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 6 = -3/2(x - 2)
y - 6 = -3/2x + 3
y = -3/2x + 9
The fourth one I think hope it helps
Answer:
A) C(d,m) = 40 + 55d + 0.13m
B) $448
Step-by-step explanation:
Let 'd' be the number of days and 'm' the number of miles driven.
A) The cost function that describes a fixed amount of $40, added to a variable amount of $55 per day (55d) and a variable amount of 13 cents per mile (0.13m) is:

B) If d = 5 and m =600, the total cost is:

The cost is $448.
4x - 2 > 12
4x > 10
X > 5/2