Slope and Y-Intercept
Grade 8 · Math · Linear Equations · Nebraska, USA
Lesson Summary
Understand slope as the steepness of a line and the y-intercept as where it crosses the y-axis.
Explanation
Slope measures how steep a line is and in which direction it tilts. It is calculated as the rise (change in y) divided by the run (change in x) between any two points. In the equation y = mx + b, m is the slope and b is the y-intercept, which is the point where the line crosses the y-axis. A positive slope goes uphill from left to right, and a negative slope goes downhill.
Practice Questions
Q1: What is the slope of a line passing through (1, 2) and (3, 8)?
Answer: The slope is 3. Rise = 8 − 2 = 6, run = 3 − 1 = 2, so slope = 6/2 = 3.
Q2: In the equation y = −4x + 7, what are the slope and y-intercept?
Answer: The slope is −4 and the y-intercept is 7.
Q3: If a line has a slope of 0, what does it look like?
Answer: A slope of 0 means the line is perfectly horizontal. It does not rise or fall at all.
People Also Ask
What is Slope and Y-Intercept in Grade 8 Math?+
Slope and Y-Intercept is a lesson in the Linear Equations chapter of Grade 8 Math. It is part of the Nebraska, USA school curriculum and covers key concepts that students need to understand at this level.
What grade level covers Slope and Y-Intercept?+
Slope and Y-Intercept is taught in Grade 8 as part of the Math curriculum in Nebraska, USA.
How can I help my child with Linear Equations in Math?+
Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Linear Equations topics.