Rearrange the equation to make sure it is in the form of \textbf -interceptįor example, the equation y=10+3 x.State the slope and y -intercept of the line y=-3 x+8. High School Functions: Linear, Quadratic, and Exponential Models (HSF-LE.A.2):Ĭonstruct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).Graph linear and quadratic functions and show intercepts, maxima, and minima. High School Functions: Interpreting Functions (HSF-IF.C.7a):.Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane derive the equation y = m x for a line through the origin and the equation y = m x + b for a line intercepting the vertical axis at b. Grade 8 Expressions and Equations (8.EE.B.6).For example, the function A=s^2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2, 4) and (3,9), which are not on a straight line. Interpret the equation y=m x+b as defining a linear function, whose graph is a straight line give examples of functions that are not linear. How does this relate to 8 th grade math and high school math? Graphically, you can see that the ordered pair of the y -intercept is (0, 1) and the slope is represented by 2 units up and 1 unit to the right. You can state that the slope of this line is 2 and the y -intercept is 1. Since m is represented by the number 2 and b is represented by the number 1. Let’s take a look at the linear equation y=2 x+1. You can also determine this because the power of x is equal to 1. Y=m x+b is a linear equation because when it’s graphed on the coordinate plane, it forms a line. y value represents the y -coordinate of any point on the line.x value represents the x -coordinate of any point on the line.b represents the y -intercept of the line which is the point where the line intersects the y -axis.m represents the slope of a line which is how steep the line is.However, the focus here is going to be on the slope-intercept form of the equation of a line, y=m x+b. There are other ways to write the equation of a straight line like standard form or point slope form. Y=m x+b is the slope intercept form of the line.
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