Reference no: EM131021425
1. Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible.
(0, 5), m= - 3/5
2. Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.
a. (-1, 3) and (4, -2)
b. (2, -3) and (2, 4)
3. Write the equation of the line L satisfying the given geometric conditions.
a. L has y-intercept (0, -3) and is parallel to the line with equation y =(2/3)x + 1
b. L has y-intercept (0, 2) and is perpendicular to the line with equation 2x - 3y = 6.
3. Business and finance. In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce and that 300 items will cost $22,000 to produce. Find the equation that relates C and x.
4. Business and finance. Two years after an expansion, a company had sales of $42,000. Four years later the sales were $102,000. Assuming that the sales in dollars S and the time in years t are related by a linear equation, find the equation relating S and t.