8th review Slope and Y-Intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm' in the slope-intercept form of a linear equation, which is given by the formula: m = (change in y) / (change in x).

Front

What is the y-intercept of a line?

Back

The y-intercept of a line is the point where the line crosses the y-axis. It is represented as 'b' in the slope-intercept form of a linear equation, which is written as y = mx + b.

Front

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

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of the line represented by the equation y = -rac{2}{3}x + 4?

Back

The slope of the line is -rac{2}{3}.

Front

What is the y-intercept of the line represented by the equation y = -rac{2}{3}x + 4?

Back

The y-intercept of the line is 4.

Front

How do you graph a line using the slope and y-intercept?

Back

Start at the y-intercept on the y-axis, then use the slope to determine the rise over run to find another point on the line.

Front

What is the equation of a line with a slope of -2 and a y-intercept of 5?

Back

The equation of the line is y = -2x + 5.