This math topic focuses on deriving line equations in standard form from given sets of X and Y values. The skills practiced include understanding the relationship between points and their representation in a linear equation, analyzing trends in the data points, and translating this understanding into constructing standard form equations. The topic enhances students' abilities to manipulate algebraic expressions and strengthens their grasp of line equations and graphing, which are fundamental aspects of algebra and coordinate geometry.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more
View

Slope - Find Equivalent - X,Y Chart to Standard Form

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


What line equation in standard form would would create this set of X, Y values?

XY00.331020.3330.6741\begin{matrix}\text{X} & \text{Y}\\0 & 0.33\\1 & 0\\2 & -0.33\\3 & -0.67\\4 & -1\\\end{matrix}

?

Slope - Find Equivalent - X,Y Chart to Standard Form Worksheet

Mobius Math Club logo
Math worksheet on 'Slope - Find Equivalent - X,Y Chart to Standard Form (Level 1)'. Part of a broader unit on 'Line Equations and Graphing - Practice' Learn online: app.mobius.academy/math/units/line_equations_and_graphing_practice/
1
What line equation in standard form would would create this set of X, Y values?
A LaTex expression showing \begin{matrix}\text{X} & \text{Y}\\0 & 4\\1 & 0\\2 & -4\\3 & -8\\4 & -12\\\end{matrix}
a A LaTex expression showing 4x + 1y = 4
b A LaTex expression showing 2x + 1y = 4
c A LaTex expression showing 0.25x + 1y = 4
d A LaTex expression showing -4x + 1y = 4
2
What line equation in standard form would would create this set of X, Y values?
A LaTex expression showing \begin{matrix}\text{X} & \text{Y}\\0 & 2\\1 & 3\\2 & 4\\3 & 5\\4 & 6\\\end{matrix}
a A LaTex expression showing 1x + 1y = 2
b A LaTex expression showing -1x + 1y = 2
c A LaTex expression showing -0.5x + 1y = 2
3
What line equation in standard form would would create this set of X, Y values?
A LaTex expression showing \begin{matrix}\text{X} & \text{Y}\\0 & 0.5\\1 & 0\\2 & -0.5\\3 & -1\\4 & -1.5\\\end{matrix}
a A LaTex expression showing 2x + 1y = 0.5
b A LaTex expression showing -0.5x + 1y = 0.5
c A LaTex expression showing 0.25x + 1y = 0.5
d A LaTex expression showing 0.5x + 1y = 0.5
4
What line equation in standard form would would create this set of X, Y values?
A LaTex expression showing \begin{matrix}\text{X} & \text{Y}\\0 & 2\\1 & 2.33\\2 & 2.67\\3 & 3\\4 & 3.33\\\end{matrix}
a A LaTex expression showing -3x + 1y = 2
b A LaTex expression showing 0.33x + 1y = 2
c A LaTex expression showing -0.17x + 1y = 2
d A LaTex expression showing -0.33x + 1y = 2
5
What line equation in standard form would would create this set of X, Y values?
A LaTex expression showing \begin{matrix}\text{X} & \text{Y}\\0 & 3.33\\1 & 3\\2 & 2.67\\3 & 2.33\\4 & 2\\\end{matrix}
a A LaTex expression showing 3x + 1y = 3.33
b A LaTex expression showing 0.17x + 1y = 3.33
c A LaTex expression showing 0.33x + 1y = 3.33
d A LaTex expression showing -0.33x + 1y = 3.33
6
What line equation in standard form would would create this set of X, Y values?
A LaTex expression showing \begin{matrix}\text{X} & \text{Y}\\0 & 3.25\\1 & 3\\2 & 2.75\\3 & 2.5\\4 & 2.25\\\end{matrix}
a A LaTex expression showing 0.25x + 1y = 3.25
b A LaTex expression showing -0.25x + 1y = 3.25
c A LaTex expression showing 4x + 1y = 3.25
d A LaTex expression showing 0.13x + 1y = 3.25
7
What line equation in standard form would would create this set of X, Y values?
A LaTex expression showing \begin{matrix}\text{X} & \text{Y}\\0 & 1\\1 & 6\\2 & 11\\3 & 16\\4 & 21\\\end{matrix}
a A LaTex expression showing 5x + 1y = 1
b A LaTex expression showing -5x + 1y = 1
c A LaTex expression showing -2.5x + 1y = 1
d A LaTex expression showing -0.2x + 1y = 1