1.3 slope-intercept form: find the slope and y-intercept RSI You have prizes to re ebral Video Find the \( y \)-intercept of \( \quad \) e \( y=-\frac{1}{7} x+12 \). Write your answer as itcger or as a simplined proper or improper fraction, not as an

The y-intercept of the equation \( y = -\frac{1}{7}x + 12 \) is the point where the line crosses the y-axis. In this case, when \( x = 0 \), the value of \( y \) is simply \( 12 \). So, the y-intercept is \( (0, 12) \). Now, the slope is the coefficient of \( x \), which means the slope here is \( -\frac{1}{7} \). This tells us that for every 7 units you move to the right on the x-axis, the line falls 1 unit. The visual appeal of slope-intercept form makes it a fantastic tool for graphing linear equations!