5.2 A Write an Equation of a Line Given Slope and Y-Int.

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 the equation y = 2x + 5?

Back

The slope is 2.

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

Write the equation of a line with a slope of 1 and a y-intercept of 4.

Back

y = 1x + 4 or y = x + 4.

Front

If a line has a slope of -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right.

Front

What is the y-intercept of the equation y = 3x - 7?

Back

The y-intercept is -7.

Front

Write the equation of a line with a slope of 0 and a y-intercept of 5.

Back

y = 0x + 5 or y = 5.

Front

How do you convert the slope-intercept form to standard form?

Back

To convert y = mx + b to standard form Ax + By = C, rearrange the equation to isolate x and y on one side.

Front

What is the slope of the line represented by the equation y = -4x + 2?

Back

The slope is -4.

Front

If the slope of a line is undefined, what does this mean about the line?

Back

An undefined slope indicates a vertical line.