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 slope-intercept form?

Back

'm' represents the slope of the line, indicating its steepness and direction.

Front

What does 'b' represent in the slope-intercept form?

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 a line that rises from left to right?

Back

The slope is positive.

Front

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

Back

The slope is negative.

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

Write the equation in point-slope form for a line with slope 2 passing through the point (3, 4).

Back

y - 4 = 2(x - 3).