Equation of Line (Solving & Graphing)

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

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the y-intercept of a linear equation?

Back

To find the y-intercept, set x = 0 in the equation and solve for y.

Front

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

Back

The y-intercept is 7.

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: y = - (A/B)x + (C/B).

Front

What is the slope of the line represented by the equation 6x - 3y = -9?

Back

The slope is 2.

Front

How do you graph a line given its equation in slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.

Front

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

Back

The equation is y = 2x - 3.

Front

How do you solve for y in the equation 10x - 5y = 30?

Back

Rearranging gives y = 2x - 6.

Front

What does it mean if a line has a negative slope?

Back

A negative slope indicates that as x increases, y decreases.