Name ID: 1 Date \( \qquad \) Period \( \qquad \) the line through the given point with the given slope. 2) through: \( (-2,-2) \), slope \( =2 \) 4) through: \( (2,-2) \), slope \( =-3 \) 6) through: \( (1,-1) \), slope \( =-1 \) 8) through: \( (-5,2) \), slope \( =\frac{3}{5} \) 10) through: \( (-1,4) \), slope \( =-9 \) 12) through: \( (2,-2) \), slope \( =-\frac{7}{2} \) 14) through: \( (-5,-4) \), slope \( =\frac{2}{5} \) 16) through: \( (1,-1) \), slope \( =-3 \) 18) through: \( (4,2) \), slope \( =0 \) 20) through: \( (2,-1) \), slope \( =-\frac{3}{2} \) the line through the given points. 22) through: \( (-3,-2) \) and \( (0,-4) \)

Creating a line equation is like crafting your own special recipe! When you have a point \((x_1, y_1)\) and a slope \(m\), you can use the point-slope form of the equation, which is \(y - y_1 = m(x - x_1)\). Just plug in your values, simplify, and voila, you have your line! It’s a straightforward process that can help you visualize relationships between variables. When it comes to graphing your line, don’t forget to plot the given point on your coordinate plane first! Then use the slope to determine your rise over run—go up or down based on the slope value, and move right for your run! With each step, you're just following a little dance on the graph, creating that beautiful line connecting your points. Just make sure to double-check your math to avoid any hiccups along the way!