# Linear Functions and Graphs

Linear functions and graphs serve as fundamental concepts in mathematics, providing a bedrock for understanding various mathematical principles. At their core, linear functions exhibit a constant rate of change, showcasing a straight-line relationship between variables. The graphical representation, a straight line, offers a visual interpretation of these functions, depicting how changes in one variable correspond to proportional changes in another. This introductory exploration will delve into the essential characteristics of linear functions and graphs, laying the groundwork for a deeper understanding of their applications in diverse mathematical contexts.

Questions

- How do you find an equation of the line perpendicular to the graph of 15x-5y=7 that passes through the point at (0,-4)?
- How do you graph using x and y intercept of #3x-4y+2=0#?
- Which linear equation has a graph that passes through #(0, -8)# and #(0, 15)#?
- What is the slope of a line parallel to #y=3x-10#?
- What is the graph of the function #y=3x-2#?
- What is the slope of a line parallel to #3x+4y=12#?
- What is the slope of a line perpendicular to the y-axis?
- How do I find the x-intercept of an equation in the form #y = mx + b#?
- What is the slope of a line perpendicular to #y=4x+3#?
- How do you graph #y=25x+150#?
- How do I find the equation of a linear function that passes through #(1, 7)# and #(2, 9)#?
- How do I find the slope of an equation in the form #y = mx + b#?
- What does a linear function model?
- How do I find the y-intercept of an equation in the form #y = mx + b#?
- What does #y = mx + b# mean?
- How do you graph #3x-y=7#?
- What is the slope of a line perpendicular to #y=3x+4#?
- How do I use the graph of a linear function to find its equation?
- What is the slope of a line parallel to #4x+y=-1#?
- What is the slope of a line perpendicular to the x-axis?