Slope-Intercept Form

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 the equation y = 2x + 5?

Back

The slope is 2.

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

Front

If the slope of a line is negative, what does that indicate about the line's direction?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

Write the equation of a line with a slope of 1/2 and a y-intercept of 4.

Back

y = 1/2x + 4.

Front

What is the slope of the line represented by the equation y = -3x + 6?

Back

The slope is -3.

Front

How can you find the y-intercept from the equation y = 4x - 2?

Back

The y-intercept is -2, which is the value of y when x = 0.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal.

Front

Determine the slope and y-intercept of the equation y = -5x + 1.

Back

Slope: -5, y-intercept: (0, 1).

Front

If a line has a slope of 3, what is the angle of inclination of the line?

Back

The angle of inclination can be found using the tangent function: tan(θ) = 3.