Graph the line passing through (2,-5)whose slope is m=1/2

9514 1404 393

  see attached

Step-by-step explanation:

If you're graphing by hand, plot the point (2, -5), then draw a line through it with a slope of +1/2. Such a line will have a rise of 1 unit for each run of 2 units to the right. That is, (2, -5) +(1, 2) = (3, -4) will be another point on the line. You can draw the line through these two points.

__

When you are given a point and a slope, it is convenient to know the point-slope form of the equation of a line:

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

Here, the equation can be ...

  y -(-5) = (1/2)(x -2)

  y +5 = (1/2)(x -2)

A graphing calculator can draw the graph of this very nicely.

Let Y be the number of compact cars and 20 - Y be the number of full-sized car. If the total cost of 20 cars is $372, 000. Then we have: (Cost of compact car * number of compact car)+ (cost of full-sized car * number of full-sized car). So we have (15, 000 * Y) + (23, 000 * (20 -Y)) = 372, 000. Multiplying the expression, we have; 15, 000Y + 460, 000 - 23000Y = 372, 000. 15000Y - 23000Y = 372, 000 - 460, 000. -8000Y = - 88, 000. Hence Y = 11. Hence 11 compact cars were bought.