Writing Linear Equations Practice

Front

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

Back

The slope-intercept form is given by the equation 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 using the formula 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 = 3x + 2 that passes through the point (1, 4).

Back

The equation is y = 3x + 1.

Front

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

Back

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

Front

How do you convert the point-slope form to slope-intercept form?

Back

To convert, solve for y: y = mx - mx1 + y1.

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

The y-intercept is 5, which is the point (0, 5) on the graph.

Front

Write the equation of a line that passes through the points (2, 3) and (4, 7).

Back

The equation is y = 2x - 1.

Front

What is the slope of the line represented by the equation y - 1 = 4(x + 2)?

Back

The slope is 4.

Front

How do you determine if a line is vertical?

Back

A line is vertical if all points on the line have the same x-coordinate.