SEMESTER REVIEW - ALGEBRA 1

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 slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

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

Back

The slope-intercept form is y = (3/4)x - (3/2).

Front

What is the meaning of the term 'rise' in slope?

Back

'Rise' refers to the vertical change between two points on a line.

Front

What is the meaning of the term 'run' in slope?

Back

'Run' refers to the horizontal change between two points on a line.

Front

If y = -4/5x - 2, what is the slope of the line?

Back

The slope of the line is -4/5.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -3?

Back

The equation is y = 2x - 3.

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 given y.