5. Write a linear equation to model the situation. You borrow $70 from your brother. To repay the loan, you pay him $7 per week.
10. Write an equation of the line that is parallel to the given line and passes through the given point.
1. y=x+3 (5,0)
2. y=2x+3 (-4,1)
11. write an equation of the line that is perpenicular to y=2x+3 and passes through (3,4)
12. Write in equation in point slope form
Of the line that passes through the given points.
3. (-3,-4), (3,4)
4. (-5,-4), (7,-5)
10. Write an equation of the line that is parallel to the given line and passes through the given point.
1. y=x+3 (5,0)
2. y=2x+3 (-4,1)
11. write an equation of the line that is perpenicular to y=2x+3 and passes through (3,4)
12. Write in equation in point slope form
Of the line that passes through the given points.
3. (-3,-4), (3,4)
4. (-5,-4), (7,-5)
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5.
You need an equation that gives you the remaining debt (d) after so many weeks (t)
The form of a linear equation is y = mx + b. In this case, it is debt d = mt + b where t is measured in weeks.
At t = 0 weeks, d = $70 This is b in the equation (the value when t = 0)
The slope of the line is equal to the rate of paying the debt, which is $7 per week. Since it is declining, the slope is negative. So the equation is
d = -7t + 70
10.
y = x + 3 The slope is 1 and the parallel line will obviously have the same slope. To find b, plug in the numbers:
y = mx + b
b = mx - y
= 1*5 - 0
= 5
equation is y = x + 5
You can do the next one exactly the same way.
11.
The slope of a perpendicular line is the negative reciprocal, so m = -1/2 = -0.5
Find b as above - just plug in the numbers:
4 = -0.5*3 + b
b = 4 + 0.5*3 = 5.5
equation: y = -0.5x + 5.5
12.
point slope form is y - y1 = m(x - x1)
the slope can be found from the points:
m = rise / run = (4 - -4)/(3 - -3) = 8/6 = 4/3
y1 and x1 are simply one of the points
equation: (y - 4) = 4*(x - 3)/3
you can do the second one exactly the same way
You need an equation that gives you the remaining debt (d) after so many weeks (t)
The form of a linear equation is y = mx + b. In this case, it is debt d = mt + b where t is measured in weeks.
At t = 0 weeks, d = $70 This is b in the equation (the value when t = 0)
The slope of the line is equal to the rate of paying the debt, which is $7 per week. Since it is declining, the slope is negative. So the equation is
d = -7t + 70
10.
y = x + 3 The slope is 1 and the parallel line will obviously have the same slope. To find b, plug in the numbers:
y = mx + b
b = mx - y
= 1*5 - 0
= 5
equation is y = x + 5
You can do the next one exactly the same way.
11.
The slope of a perpendicular line is the negative reciprocal, so m = -1/2 = -0.5
Find b as above - just plug in the numbers:
4 = -0.5*3 + b
b = 4 + 0.5*3 = 5.5
equation: y = -0.5x + 5.5
12.
point slope form is y - y1 = m(x - x1)
the slope can be found from the points:
m = rise / run = (4 - -4)/(3 - -3) = 8/6 = 4/3
y1 and x1 are simply one of the points
equation: (y - 4) = 4*(x - 3)/3
you can do the second one exactly the same way
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I'm not sure if you realize that asking other people to do your math homework is plagiarism and illegal, but I would try to do it on my own next time.