Writing Linear Equations (CP Alg 1 Mid Ch 4 Review)

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

What does it mean for two lines to be perpendicular?

Back

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

Front

Write the equation of a line in point-slope form that passes through the point (3, 4) with a slope of 2.

Back

y - 4 = 2(x - 3).

Front

Convert the equation y = 5x + 2 to standard form.

Back

The standard form is Ax + By = C, so it becomes -5x + y = 2.

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 value of y when x = 0.

Front

How do you determine the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 and solve for x.

Front

Write the equation of a line with a slope of -1 that passes through the origin.

Back

The equation is y = -x.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.