Reteach LE.A.2 & IF.C.7-U2 Graphing Lines & Writing Equations

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

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

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

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

Back

To convert, solve for y to get y = mx + b.

Front

What is the graph of y = -x + 2?

Back

The graph is a straight line with a slope of -1 and a y-intercept of 2.

Front

How do you graph a horizontal line like y = -3?

Back

A horizontal line has the same y-value for all x-values; it is drawn parallel to the x-axis at y = -3.

Front

What is the equation of a line that passes through the points (3, -5) and (6, -6)?

Back

The equation is y = -1/3x - 4.

Front

How do you determine if a point lies on the line represented by an equation?

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the point's y-value.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.