Unit 5 Slope & y =mx + b

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the steepness of the line and the direction it goes. A positive slope means the line rises, while a negative slope means it falls.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis. It shows the value of y when x is 0.

Front

Write the equation of a line with a slope of 2 and a y-intercept of 3.

Back

y = 2x + 3

Front

What is the slope of a line that goes down from left to right?

Back

The slope is negative.

Front

What is the slope of a line that goes up from left to right?

Back

The slope is positive.

Front

What is the slope of a horizontal line?

Back

The slope is zero.

Front

What is the slope of a vertical line?

Back

The slope is undefined.

Front

If a line has a slope of -1, what does that mean?

Back

For every 1 unit you move to the right, the line goes down 1 unit.

Front

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

Back

Use the formula m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of -3 that passes through the point (1, 2)?

Back

y - 2 = -3(x - 1) or y = -3x + 5.