Write the linear equation in slope-intercept form. \( \begin{array}{lll}\text { 5. } 2 x+y=17 & \text { 6. } 5 x-y=\frac{1}{4} & \text { 7. }-\frac{1}{2} x+y=10\end{array} \)

We want to write each equation in the form y = mx + b, where m is the slope and b is the y-intercept. For equation 5:  2x + y = 17 Subtract 2x from both sides:  y = 17 − 2x Rewrite as:  y = −2x + 17 For equation 6:  5x − y = 1/4 Subtract 5x from both sides:  −y = 1/4 − 5x Multiply both sides by −1:  y = 5x − 1/4 For equation 7:  (−1/2)x + y = 10 Add (1/2)x to both sides:  y = (1/2)x + 10 Thus, the slope-intercept forms are:  5. y = −2x + 17  6. y = 5x − 1/4  7. y = (1/2)x + 10