4.4-4.7 Test Review

Front

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

Back

The slope-intercept form is 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

The slope (m) is calculated as 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 will never intersect.

Front

Write the equation of a line parallel to y = 2x + 3 that passes through the point (4, 5).

Back

The equation is y = 2x - 3.

Front

What is the y-intercept of the line represented by the equation y = -3x + 4?

Back

The y-intercept is 4.

Front

How do you determine if a point (x, y) lies on the line represented by an equation?

Back

Substitute the x value into the equation and see if the resulting y value matches the y value of the point.

Front

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

Back

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

Front

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

Back

The equation is y - 3 = -1(x - 2), which simplifies to y = -x + 5.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How can you graph the equation y = 3x - 2?

Back

Start at the y-intercept (0, -2), then use the slope (3) to find another point by going up 3 units and right 1 unit.