Slope-Intercept & Point-Slope Form

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line.

Front

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

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

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

Back

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

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert, solve for y in the point-slope equation to get it into the form y = mx + b.

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope is 3.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

Write the equation of the line in point-slope form that passes through the point (2, 3) with a slope of 4.

Back

y - 3 = 4(x - 2).

Front

What is the y-intercept of the line represented by the equation y = -x + 5?

Back

The y-intercept is 5.

Front

If a line has a slope of 0, what type of line is it?

Back

A slope of 0 indicates a horizontal line.