Graph Using Slope Intercept Form

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 slope-intercept form 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 of b in the equation y = mx + b.

Front

How can you find the y-intercept from an equation in slope-intercept form?

Back

To find the y-intercept from the slope-intercept form y = mx + b, simply identify the value of b.

Front

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

Back

The slope of the line is 2.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line descends from left to right.

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to isolate it on one side of the equation.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -4?

Back

The equation of the line is y = 1x - 4 or y = x - 4.

Front

How do you graph a line using the slope-intercept form?

Back

To graph a line using the slope-intercept form, start at the y-intercept (0, b) and use the slope (rise/run) to find another point.

Front

What is the significance of a slope of 0 in a linear equation?

Back

A slope of 0 indicates a horizontal line, meaning the y-value remains constant regardless of the x-value.