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Answer:
1. y=1/4x+2
2. y=-3/2x +1
3. y = -3/2x -2
4. y= -3x -49
5. y = -2x +8
Step-by-step explanation:
1. Use slope intercept, y=mx+b where m =1/4 and b=2. y=1/4x+2
2. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-7)=-3/2(x--4)
y-7=-3/2(x+4)
y-7=-3/2x-6
y = -3/2x -6 +7
y=-3/2x +1
3. To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y--5)=-3/2(x-2)
y+5=-3/2(x-2)
y+5=-3/2x + 3
y = -3/2x -2
4. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope is -3 since parallel lines have the same slope.
(y--4)=-3(x-5)
y+4=-3 (x+15)
y+4=-3x -45
y= -3x -49
5. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope is -2 since perpendicular lines have the negative reciprocal slopes. So 1/2 becomes -2.
(y--6)=-2(x-7)
y+6=-2 (x-7)
y+6 = -2x + 14
y = -2x +8