Question

write and equation of the line that contains the given point and has the given slope. (-1,-10) slope=-2


the tickets to a concerts cost $12.50 for lowers lever and 6.75 for the upper level. A total of 148,000 tickets were sold for total amount of $136,125. How many lower levels tickets were sold?

Answer 1

point-slope form is
$y - y1 = m(x - x1)$
so using the information given..
$y - ( - 10) = - 2(x - - 1)$
simplified
$y + 10 = - 2(x + 1)$
$y + 10 = - 2x - 2$
subtract 10 from both sides will put your equation in slope-intercept form
$y = - 2x - 12$

for the second problem, you need to solve a system of equations.
if x stands for lower level tickets and y stands for upper level tickets, you would set up your system:
$x + y = 148000 \\ 12.5x + 6.75y = 136125$