1st Semester Algebra 1 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 the term 'y-intercept' refer to in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

Convert the equation 3x - 4y = 6 to slope-intercept form.

Back

y = (3/4)x - (3/2).

Front

What does the acronym HOY VUX stand for in relation to graphing lines?

Back

HOY VUX helps remember that horizontal lines have a slope of 0 (y = b) and vertical lines have an undefined slope (x = a).

Front

How can 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-coordinate of the point.

Front

What is the graphical representation of the equation y = -x + 2?

Back

The graph is a straight line with a slope of -1 and a y-intercept at (0, 2).

Front

What is the process to graph a linear equation in slope-intercept form?

Back

Start at the y-intercept (0, b) and use the slope (rise/run) to find another point on the line.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.