To sketch: the graph of the given linear equation.
The linear equation is given,
y is the number of spaces that manager can rent.
x is the charges for a rental space in dollars.
Calculate x-intercept and y-intercept of line to find the two points of the linear equation that represents a line,
Substitute 0 for y in equation (1) to find the value of x-intercept,
The first point on the linear equation is .
Substitute 0 for x in equation (1) to find the value of y-intercept,
The second point on the linear equation is .
The equation (1) is in the form of general equation , so the value of slope m is .
Sketch the graph by the points , and the slope m is .
The graph of linear equation (1) is shown in above Figure (1).
The significance of slope and the y- intercept of the graph of the line.
From part (a), the slope of the linear equation is and the x- intercept is 50 and the y-intercept is 200.
The slope represents a decrease of 4 spaces rented for each one dollar increase in rental price, the y-intercept indicates that 200 spaces are rented if there is no increase in price, and the x-intercept indicates that no space are rented with an increase of $50 in rental price.
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