Algebra 1 Semester 1 Final

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 (m) between 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 y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

Given the slope m = 3/4 and a point (−8, 4), how do you set up the equation in slope-intercept form?

Back

The equation is set up as 4 = (3/4)(-8) + b.

Front

What is the equation of a line that passes through the points (4, 2) and (3, 5)?

Back

The equation is y = -3x + 14.

Front

How do you convert the equation y = -2x + 4 into standard form?

Back

To convert to standard form, rearrange to 2x + y = 4.

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 rises, while a negative slope falls.

Front

How can you determine if a point lies on a line represented by an equation?

Back

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

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

How do you find the y-intercept of the line given by the equation y = 1/3x - 3?

Back

The y-intercept is -3, which means the line crosses the y-axis at (0, -3).