Linear Equation FormulaThe equation of a line can be written in a form that makes the slope obvious and allows you to draw the line without any computation. If students are comfortable with solving a simple two-step linear equation, they can write linear equations in slope-intercept form. The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables. The numbers m and b give the slope of the line (m) and the value of y when x is 0 (b). The value of y when x is 0 is called the y-intercept because (0,y) is the point at which the line crosses the y-axis. You can draw the line for an equation matching this linear formula by plotting (0,b), then using m to find another point. For example, if m is 1/2, you can interpret that as a difference in 1 among y coordinates for every difference in 2 among x coordinates (that is, (y2 – y1)/(x2 – x1) = 1/2). Count +2 on the x-axis, then +1 on the y-axis to get to another point: (2, b + 1).
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What do you call to a function where the degree is one and its graph is a line?In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.
Which is true about linear equation?A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.
What have you noticed of the graph of the polynomial function if the degree is odd number?If a function is an odd function, its graph is symmetric with respect to the origin, that is, f(–x) = –f(x). Use the multiplicities of the zeros to determine the behavior of the polynomial at the x-intercepts.
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An equation with a degree greater than 1. the graph of the equation will not produce a line.
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