Fiona is serving iced tea and lemonade at a picnic. She has only 44 cups in which to serve the drinks. If x represents the numbe
r of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of iced tea she can serve?
1) First, find the slope of the line. Use the slope formula to find the slope. Substitute the x and y values of the given points into the formula and solve:
So, the slope is .
2) Use the point-slope formula to write the equation of the line in point-slope form. Substitute values for , , and into the formula.
Since represents the slope, substitute in its place. Since and represent the x and y values of one point on the line, choose any one of the given points (it doesn't matter which one) and substitute the x and y values of it into the formula. (I chose (1,-4), as seen below). This gives the equation of the line in point-slope form.