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These sample problems below for Applied Linear Equations 1 were generated by the MathScore.com engine.

## Sample Problems For Applied Linear Equations 1

### Complexity=1, Mode=m-pt

 1.   In slope-intercept form, write the equation of a line that goes through point (-4, -4) with slope 1/4. Equation: 2.   In slope-intercept form, write the equation of a line that goes through point (0, 5) with slope 5. Equation:

### Complexity=1, Mode=pt-pt

 1.   In slope-intercept form, write the equation of a line that goes through point (3, 2) and (0, -3). Equation: 2.   In slope-intercept form, write the equation of a line that goes through point (0, -5) and (-5, 4). Equation:

### Complexity=1, Mode=m-pt

1In slope-intercept form, write the equation of a line that goes through point (-4, -4) with slope 1/4.
Equation:
Solution
Plug what you know into y=mx+b to get this:

Now solve for b:
b = - 3

Plug m and b back into y=mx+b to get the answer

Alternate Solution
Start by plugging the slope and point into point-slope form

Now solve for y

2In slope-intercept form, write the equation of a line that goes through point (0, 5) with slope 5.
Equation:
Solution
Plug what you know into y=mx+b to get this:
5 = 5(0) + b

Now solve for b:
b = 5

Plug m and b back into y=mx+b to get the answer
y = 5x + 5

Alternate Solution
Start by plugging the slope and point into point-slope form
y - 5 = 5x

Now solve for y
y = 5x + 5

### Complexity=1, Mode=pt-pt

1In slope-intercept form, write the equation of a line that goes through point (3, 2) and (0, -3).
Equation:
Solution
Calculate the slope:
(y2 - y1) / (x2 - x1) =
(-3 - 2) / (0 - 3) =
 53

Plug (3, 2) into y=mx+b to get this:

Now solve for b:
b = - 3

Plug m and b back into y=mx+b to get the answer

Alternate Solution
Plug the slope and (3, 2) into point-slope form

Now solve for y

2In slope-intercept form, write the equation of a line that goes through point (0, -5) and (-5, 4).
Equation:
Solution
Calculate the slope:
(y2 - y1) / (x2 - x1) =
(4 - -5) / (-5 - 0) =
 - 95

Plug (0, -5) into y=mx+b to get this:

Now solve for b:
b = - 5

Plug m and b back into y=mx+b to get the answer

Alternate Solution
Plug the slope and (0, -5) into point-slope form

Now solve for y

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