Sarah works at an art school and its purchasing canvases for $6 each and bottles of paint for $4 each. She budgets a total of $1
,700 for canvases and paint. She goes over-budget, but purchases more than 360 items. Which of the following systems of inequalities represents all the possible values for the number of canvases, a, and the number of paint bottles, b, that she buys?
First we find the slope of the line AB passing through the point (2,0)
line AB is perpendicular to the line , this equation is slope intercept for, which is so our m or slope is
Since the slope of line AB is perpendicular to then we use the equation , so what do we multiply by to get -1? -4 right, so that's the slope of line AB with the point (2,0)
Now line CD is parallel to line AB, that means it has the same slope as AB, so slope of CD is -4
So we make the equation so m= -4 and our point is (-1,6)