Algebra 1 Part 1 Graphing Equations and Inequalities

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 from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that the points on the line are included in the solution (≥ or ≤), while a dashed line indicates they are not included (> or <).

Front

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

Back

To convert from Ax + By = C to slope-intercept form, solve for y: y = (-A/B)x + (C/B).

Front

What does it mean if an inequality is written as y < mx + b?

Back

It means that the solution includes all points below the line represented by y = mx + b.

Front

What is the significance of the y-intercept in a graph?

Back

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

Front

How can you tell if a line is increasing or decreasing?

Back

A line is increasing if the slope (m) is positive and decreasing if the slope is negative.

Front

What is the graphical representation of the inequality y > mx + b?

Back

The area above the line y = mx + b is shaded, indicating all points where y is greater than mx + b.