Question #5396

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.

Expert's answer

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).

<img src="data:image/png;base64,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" alt="">

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

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).

<img src="data:image/png;base64,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" alt="">

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

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