Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match the linear equations with their X- and y-intercepts.(-20/3, 0) and (0.4)(3.0) and (0.-21)(-15/3, 0) and (0.4)(-7/3.0) and (0.7/3)(2.0) and (0, -1)EquationInterceptsx-2y = 2-3x + 3y = 77x - y = 213x - 5y = -20

Answer 1

Given a linear equation,

`y\text{ = mx + c}`

The x-intercept can be obtained by setting y to 0 and then solving for x. Similarly, the y-intercept can be obtained by setting x to 0 and then solving for y.

(a) x - 2y = 2

x-intercept :

`\begin{gathered} \text{when y = 0} \\ x\text{ - 0 = 2} \\ x\text{ = 2} \end{gathered}`

y-intercept:

`\begin{gathered} \text{when x = 0} \\ 0\text{ - 2y = 2} \\ -2y\text{ = 2} \\ \text{Divide both sides by -2} \\ y\text{ = -1} \end{gathered}`

The