SOLUTION: 1.) Has the same slope as y = -5x + 10 and the same y-intercept as y = 3x - 9 2.) Is perpendicular to the line y = -4/3x and contains the point (4,10) 3.) Passes through

Algebra ->  Linear-equations -> SOLUTION: 1.) Has the same slope as y = -5x + 10 and the same y-intercept as y = 3x - 9 2.) Is perpendicular to the line y = -4/3x and contains the point (4,10) 3.) Passes through       Log On


   

Question 672843: 1.) Has the same slope as y = -5x + 10 and the same y-intercept as y = 3x - 9

2.) Is perpendicular to the line y = -4/3x and contains the point (4,10)

3.) Passes through (5,3) and crosses the x-axis at 9.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
slope of y=highlight%28-5%29x+10 is highlight%28-5%29
y intercept of y = 3xhighlight%28-9%29 is highlight%28-9%29
highlight_green%28y=-5x-9%29
...
slope of y=highlight%28-4%2F3%29x is highlight%28-4%2F3%29
a perpendicular line will have a negative inverse(reciprocal) slope of 3%2F4
using the slope and the point in the point-slope formula
y-10=%283%2F4%29(x-4)
y-10 = %283%2F4%29x+-+4%283%2F4%29
y = %283%2F4%29x+-+3+%2B+10
highlight_green%28y+=+%283%2F4%29x+%2B+7%29
...
Using the points (5,3) and crossing x axis of (9,0)
First find slope, %28y1-y2%29%2F%28x1-x2%29=+%283-0%29%2F%285-9%29+=+3%2F-4+=+-3%2F4
Use one point with the slope
y-0 = %28-3%2F4%29%28x-9%29
y = %28-3%2F4%29x+-+%283%2F4%29%28-9%29
highlight_green%28y=%28-3%2F4%29x%2B%2827%2F4%29%29
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