Writing Slope Intercept Equations

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

How do you identify the slope from an equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

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 of b in y = mx + b.

Front

If the slope is negative, what does that indicate about the line?

Back

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

Front

If a line has a slope of 0, what does that mean?

Back

A slope of 0 means the line is horizontal and does not rise or fall.

Front

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

Back

The slope is 3.

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), then rearrange to slope-intercept form.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -2?

Back

The equation is y = 1x - 2 or y = x - 2.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).