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Learn how to write and graph the equation of a straight line in different forms, such as y = mx + b or y = ax + b. Find out the meaning of slope, intercept, rise and run, and see examples and exercises.
Two graphs of linear equations in two variables In mathematics, a linear equation is an equation that may be put in the form where are the variables (or unknowns), and are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation and may be arbitrary expressions, provided they do not contain any of the variables. To yield a meaningful ...
y = ax + b. Therefore, since the variables x and y are the coördinates of any point on that line, that equation is the equation of a straight line with slope a and y -intercept b.
For the linear equation y = a + bx, b = slope and a = y -intercept. From algebra recall that the slope is a number that describes the steepness of a line, and the y -intercept is the y coordinate of the point (0, a) where the line crosses the y -axis. Three possible graphs of y = a + bx. (a) If b > 0, the line slopes upward to the right.
General Equation of a Line The general equation of a line in two variables of the first degree is represented as Ax + By +C = 0, A, B ≠ 0 where A, B and C are constants which belong to real numbers. When we represent the equation geometrically, we always get a straight line. Below is a representation of straight-line formulas in different forms: Slope-intercept Form We know that the equation ...
The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept. There are different forms such as point-slope form, slope-intercept form, general form, standard form, etc.
A linear function is a function whose graph is a line. Thus, it is of the form f(x) = ax + b where 'a' and 'b' are real numbers. Learn how to find graph a linear function, what is its domain and range, and how to find its inverse?
Solutions to an equation of the first degree. The graph of an equation of the first degree, which is a straight line. x- and y-intercepts. Vertical and horizontal lines.
For the equation of a line in the standard form, Ax + By = C A x + B y = C where A ≠ 0 A ≠ 0 and B ≠ 0 B ≠ 0, you can use the formulas below to find the x and y-intercepts.
The calculator uses a statistics feature called a "Linear Regression" to give you the slope and y-intercept of y = ax + b (the calculator's version of y = mx + b).