Slope Intercept Form
y=mx+b
The slope-intercept form of a linear equation is given by
y = mx + b,
where m is the slope of the line and b is the y-intercept.
The slope of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. It can be calculated as
m = (y2 – y1) / (x2 – x1),
where (x1, y1) and (x2, y2) are any two distinct points on the line.
The y-intercept of a line is the value of y where the line intersects the y-axis. It can be read directly from the equation in slope-intercept form as the constant term b.
The slope-intercept form of a linear equation is a convenient way to express the equation of a line because it gives us a clear understanding of the slope and y-intercept of the line. It can also be used to graph the line by plotting the y-intercept on the y-axis and then using the slope to find additional points on the line.
More Answers:
Quadratic Equation Roots: How B² – 4Ac > 0 Indicates Two Distinct Real RootsA Complete Guide To The Importance Of Discriminant In Quadratic Equations
Mastering Point-Slope Form: Writing And Solving Linear Equations With Ease