LT.3: Students write linear equations in slope-intercept

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

Identify the slope and y-intercept in the equation: y = 3x + 4.

Back

Slope: 3, y-intercept: 4.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

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

Back

The y-intercept is 5.

Front

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

Back

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

Front

What is the equation of a line with a slope of 1 and a y-intercept of -3?

Back

The equation is y = 1x - 3 or y = x - 3.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

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

Back

The slope is -4.

Front

How do you convert the equation from standard form Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

What is the slope of the line represented by the equation y = 2/5x - 1?

Back

The slope is 2/5.