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## Graphs to Linear Equations 2 - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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### Complexity=1, Mode=point slope

Write the equation in point slope format, y - y1 = m(x - x1), then convert into slope intercept form, y = mx + b.

 1 Point Slope Equation: Slope Intercept Equation: 2 Point Slope Equation: Slope Intercept Equation:

### Complexity=1, Mode=point slope

Write the equation in point slope format, y - y1 = m(x - x1), then convert into slope intercept form, y = mx + b.

1 Point Slope Equation:
Slope Intercept Equation:
Solution
The slope is 2
The intersection point is (0, -1)
Plugging this into y-y1=m(x-x1) yields y + 1 = 2x

To get slope-intercept form, solve for y.
y + 1 - 1 = 2x - 1
y = 2x - 1

2 Point Slope Equation:
Slope Intercept Equation:
Solution
The slope is 1/3
The intersection point is (-1, 2)
Plugging this into y-y1=m(x-x1) yields

To get slope-intercept form, solve for y.   