Writing Linear Equations from Graph

Front

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

Back

The y-intercept is 5.

Front

If m = 3 and b = 6, what is the correct slope-intercept equation?

Back

The equation is y = 3x + 6.

Front

What is the equation of the line with a slope of -1/3 and a y-intercept of -2?

Back

The equation is y = -1/3x - 2.

Front

What is the equation of the line with a slope of 5 and a y-intercept of -4?

Back

The equation is y = 5x - 4.

Front

What is the equation of the line with a slope of 2 and a y-intercept of 7?

Back

The equation is y = 2x + 7.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

Front

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

Back

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

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

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis.

Front

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

Back

Rearrange the equation Ax + By = C to solve for y.