Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each linear equation with the correct description. Tiles -(2)/(3) x+y=17 y-7=(2)/(3)(x+15) x-7=(2)/(3)(y+15) y=(2)/(3) x+17 6 x-3 y=-51 Pairs slope-intercept form point-slope form standard form

To match each linear equation with its correct description, let's analyze the given equations and their forms:<br /><br />### 1. **Slope-Intercept Form**: <br />The slope-intercept form of a linear equation is written as: <br />\[<br />y = mx + b<br />\] <br />where \(m\) is the slope and \(b\) is the y-intercept.<br /><br />From the tiles, the equation that matches this form is: <br />\[<br />y = \frac{2}{3}x + 17<br />\]<br /><br />---<br /><br />### 2. **Point-Slope Form**: <br />The point-slope form of a linear equation is written as: <br />\[<br />y - y_1 = m(x - x_1)<br />\] <br />where \(m\) is the slope and \((x_1, y_1)\) is a point on the line.<br /><br />From the tiles, the equation that matches this form is: <br />\[<br />y - 7 = \frac{2}{3}(x + 15)<br />\]<br /><br />---<br /><br />### 3. **Standard Form**: <br />The standard form of a linear equation is written as: <br />\[<br />Ax + By = C<br />\] <br />where \(A\), \(B\), and \(C\) are integers, and \(A\) is typically positive.<br /><br />From the tiles, the equation that matches this form is: <br />\[<br />6x - 3y = -51<br />\]<br /><br />---<br /><br />### Final Answer:<br />- **Slope-Intercept Form**: \(y = \frac{2}{3}x + 17\) <br />- **Point-Slope Form**: \(y - 7 = \frac{2}{3}(x + 15)\) <br />- **Standard Form**: \(6x - 3y = -51\)