Standard(s):
[MA2019] ACC-7 (7) 6 : 6. Interpret y = mx + b as defining a linear equation whose graph is a line with m as the slope and b as the y-intercept.
a. Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in a coordinate plane.
b. Given two distinct points in a coordinate plane, find the slope of the line containing the two points and explain why it will be the same for any two distinct points on the line.
c. Graph linear relationships, interpreting the slope as the rate of change of the graph and the y-intercept as the initial value.
d. Given that the slopes for two different sets of points are equal, demonstrate that the linear equations that include those two sets of points may have different y-intercepts. [Grade 8, 9]
[MA2019] REG-8 (8) 9 : 9. Interpret y = mx + b as defining a linear equation whose graph is a line with m as the slope and b as the y-intercept.
a. Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in a coordinate plane.
b. Given two distinct points in a coordinate plane, find the slope of the line containing the two points and explain why it will be the same for any two distinct points on the line.
c. Graph linear relationships, interpreting the slope as the rate of change of the graph and the y-intercept as the initial value.
d. Given that the slopes for two different sets of points are equal, demonstrate that the linear equations that include those two sets of points may have different y-intercepts.
[MA2019] REG-8 (8) 15 : 15. Compare properties of functions represented algebraically, graphically, numerically in tables, or by verbal descriptions.
a. Distinguish between linear and non-linear functions.
[MA2019] ACC-8 (8) 23 : 23. Compare properties of two functions, each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). Include linear, quadratic, exponential, absolute value, and linear piecewise. [Algebra I with Probability, 21, edited]
a. Distinguish between linear and non-linear functions. [Grade 8, 15a]
