Lesson 2.2 Writing Equation 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

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

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 the slope-intercept form.

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

How do you convert the equation y = 3x + 5 into slope-intercept form?

Back

The equation is already in slope-intercept form, where the slope is 3 and the y-intercept is 5.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope of the line is -4.

Front

What is the y-intercept of the line represented by the equation y = 1/2x - 3?

Back

The y-intercept of the line is -3.

Front

Given the slope -1 and y-intercept 4, write the equation of the line in slope-intercept form.

Back

The equation is y = -1x + 4 or y = -x + 4.

Front

How do you find the slope from the equation y = 5x + 2?

Back

The slope is the coefficient of x, which is 5.

Front

What is the slope-intercept form of a line with a slope of 0?

Back

The slope-intercept form is y = b, where b is the y-intercept, indicating a horizontal line.