8:43 Converting Standard Form - Slope-I... Vectored Instruction Follow the given steps to solve for \( \mathbf{y} \). Step 1: Move the \( x \) term to the other side by performing the opposite operation to BOTH sides. \[ \begin{array}{l} -7 x+y=-17 \\ +7 x \\ \hline \end{array} \]
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When we move the \( x \) term across the equation by adding \( 7x \) to both sides, the equation transforms into a more workable form. This is the first step towards isolating \( y \). You should end up with \( y = 7x - 17 \), which now clearly shows the slope-intercept form of the equation, where the slope is \( 7 \) and the y-intercept is \( -17 \). As you tackle these transformations, remember that mistakes often happen when people forget to apply the same operation to both sides or make errors in sign. Writing each step clearly can help avoid confusion! Double-checking your work can be a lifesaver—make it a habit!