Algebra 1A Wide-Ranging Review

Front

Write the equation of the line that passes through the point (3,-1) and has a slope of 2.

Back

y = 2x - 7

Front

For the equation y + 1 = -3(x - 5), what is the slope of the line?

Back

-3

Front

Solve with substitution: y = -2x + 18 and y = 8. What is the solution?

Back

(5, 8)

Front

Graph the equation 3x + 4y = 12. What are the intercepts?

Back

x-intercept: (4, 0), y-intercept: (0, 3)

Front

Solve the equation: 3(x - 1) = 2x + 9. What is the value of x?

Back

x = 12

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the point-slope form of a linear equation?

Back

y - y1 = m(x - x1), where (x1, y1) is a point on the line.