STAAR Algebra Review 2019 Flashcard 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 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 slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a line?

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.

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

What is the equation of a line that passes through the points (2, 2) and (-1, -13)?

Back

The equation is y = 5x - 8.

Front

What is the rate of change in a linear relationship?

Back

The rate of change is the same as the slope of the line, indicating how much y changes for a unit change in x.

Front

What is the equation of the line that passes through the points (-1, 2) and (3, 4)?

Back

The equation is y = 1/2x + 2.5.

Front

How do you determine if a point lies on a line given by an equation?

Back

Substitute the x-value of the point into the equation and check if the resulting y-value matches the y-value of the point.

Front

What is the significance of the coefficients in the equation of a line?

Back

The coefficients indicate the slope and the y-intercept, which define the line's steepness and position.