test on linear equations

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 identify the slope from a graph?

Back

The slope can be identified as the ratio of the rise (change in y) over the run (change in x). A positive slope rises from left to right, while a negative slope falls.

Front

What is point-slope form of a linear equation?

Back

The point-slope form is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

Convert the equation y + 1 = -3(x - 5) to slope-intercept form.

Back

y = -3x + 14.

Front

What does it mean if a line has an undefined slope?

Back

An undefined slope indicates a vertical line, where the x-value does not change.

Front

What is the significance of the y-intercept 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.

Front

How can you determine if a scatter plot shows a positive relationship?

Back

A scatter plot shows a positive relationship if the points trend upwards from left to right.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, where the y-value remains constant regardless of the x-value.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), substituting the slope and the coordinates of the point.