Writing Equations in 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 slope-intercept form?

Back

In the equation y = mx + b, the slope is represented by the coefficient m.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value b in the slope-intercept form.

Front

If a line has a slope of 3 and a y-intercept of -2, what is the equation in slope-intercept form?

Back

y = 3x - 2

Front

How do you convert a point-slope form equation to slope-intercept form?

Back

Start with the point-slope form y - y1 = m(x - x1) and solve for y to get it into the form y = mx + b.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

Given the slope 5 and the point (2, 3), write the equation in slope-intercept form.

Back

y = 5x - 7

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing a downward trend.

Front

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2.