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Does the Point Lie on the Line? WORKSHEET
Suitable for Grades: 8th Grade
CCSS: 8.EE.B.6, 8.F.B.4
CCSS Description: 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.
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Does the Point Lie on the Line? WORKSHEET DESCRIPTION
In this worksheet, students will substitute the given x- and y-values from pairs of coordinates into various straight line equations to determine whether these points lie on the corresponding lines.
In Section A, learners are tasked with demonstrating that five points lie on five respective lines. Section B progresses to challenge students to ascertain whether six different points reside on the graphs of six different equations. Lastly, Section C introduces problem-solving questions, which include determining the several lines upon which the coordinate (9,4) lies.
The worksheet incorporates slopes, y-intercepts, and coordinates that range from positive and negative to integer and fractional values.
