ALGEBRA Semester 1 REVIEW

Front

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

Back

The point-slope form of a linear equation 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 from point-slope form to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y.

Front

What is the slope of the line represented by the equation y + 3 = 1(x + 2)?

Back

The slope of the line is 1.

Front

Given the point (4, -7) and slope m = -1/4, write the equation in point-slope form.

Back

y + 7 = -1/4(x - 4) is the equation in point-slope form.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

The slope of the line is 2.

Front

How do you determine the slope from a point-slope equation?

Back

The slope can be directly identified from the equation in point-slope form, which is the coefficient of (x - x1).

Front

What type of association does a graph with a positive slope have?

Back

A graph with a positive slope has a positive association, meaning that as one variable increases, the other variable also increases.

Front

For the equation y + 1 = -3(x - 5), what is the slope?

Back

The slope is -3.

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line passes through the point (-4, 3).