Forms of Linear Equations

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

(8, 0)

Front

How do you write the equation y = 2/3 x + 5 in standard form?

Back

2x - 3y = -15

Front

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

Back

y = 3x + 6

Front

What is the slope of the line for the equation y + 1 = -3(x - 5)?

Back

-3

Front

How would you write the equation with a slope of 2/3 and a y-intercept of -3?

Back

y = 2/3x - 3

Front

What is the definition of a linear equation?

Back

An equation that makes a straight line when graphed.

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x.

Front

What is the formula for slope (m) between two points (x1, y1) and (x2, y2)?

Back

m = (y2 - y1) / (x2 - x1)

Front

What is the y-intercept of a linear equation?

Back

The point where the line crosses the y-axis.

Front

How do you find the y-intercept from the equation y = mx + b?

Back

The y-intercept is b.