Answer to Question #5396 in Algebra for Jennifer Jones

Question

3. f(x)=45-3x
graph the function and find it's intercepts. what does each intercept represent?

12. write an equation in slope-intercept form for the line through (-1,1) and (0,3).

13. Identify which lines are parallel: y=-1/2x+3; y=1/2x+1; y=2x; x+2y=4.

14. Identify which lines are perpendicular: y-2=3x; y+4x=-1; y=-1/3x+5; y=1/3x-4.

16. Write an equation in slope intercept form for the line that passes through (4,6) and is perpendicular to the described by y=x-3.

Answer 1

Intercepts (0,45), (15,0)
does each intercept represent?& -Intercept whith x-asis and y-acis
12. write an equation in slope-intercept form for the line through (-1,1) and (0,3).
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13. Identify which lines are parallel: y=-1/2x+3; y=1/2x+1; y=2x; x+2y=4.
Y=-1/2x+2 -last equation
lines are parallel& when k1=k2:
s0 y=-1/2x+3& is parallel to x+2y=4.
14. Identify which lines are perpendicular: y-2=3x; y+4x=-1; y=-1/3x+5; y=1/3x-4.

lines are perpendicular when k1*k2=-1
so y-2=3x and y=-1/3x+5 are perpendicular
16. Write an equation in slope intercept form for the line that passes through (4,6) and is perpendicular to the described by y=x-3.
K=-1
Y=-x+b
6=-4+b
B=10
Y=-x+10