Substitution (already isolated)

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

How do you convert an equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y.

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

What does the y-intercept of a line represent?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables.

Front

What does it mean for a system of equations to have one solution?

Back

One solution means that the graphs of the equations intersect at exactly one point.

Front

What does it mean for a system of equations to have no solution?

Back

No solution means that the graphs of the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have infinite solutions?

Back

Infinite solutions mean that the equations represent the same line, so they intersect at every point on that line.

Front

How do you solve a system of equations using substitution?

Back

To solve by substitution, solve one equation for one variable, then substitute that expression into the other equation.

Front

What is the first step in solving the system: y = 3x - 5 and 2x + 4y = -6?

Back

Substitute y = 3x - 5 into the second equation (2x + 4(3x - 5) = -6).