Linear and Non-Linear Equations

Non-Linear Equations

exponent is on variuble This is a non-linear equation. I can tell from the graph because, the x and y value repeat. I can tell from the equations because there are multiple variables with exponents on them.

This is a non-Linear equation. I can tell from the graph because, the line is curved making it non-linear. I can tell this from the equation because the exponent is in the fraction.

Linear equations

x=4

This is a linear equation. I can tell this from the graph because the line is perfectly stright. I can tell this from the equation because the equation has no exponents that are more than one in it.

This is a linear equation. I can tell this from the graph because the line is stright and has no curves. I can tell this from the equation because the equation has no exponents of more than 1 and there are no variables in the fraction.

Self-Assessment

  • I explored mathematical ideas using technology when I used desmos to discover whether or not the equation is linear or non-linear.
  • I analyzed data and used criteria to draw conclusions when I saw the graph and had to determin whether or not the line was stright.
  • I justified my conclusions with evidence when I discribed how the equation was linear or non linear.