6. \( 3 x-5 y=25 \) \[ Y= \] \( \qquad \) Slope: \( \qquad \) \( y \)-intercept: \( \qquad \) Slope: \( \qquad \) \( y \)-intercept: \( \qquad \)

To express the equation \( 3x - 5y = 25 \) in slope-intercept form ( \( y = mx + b \) ), you can rearrange it: 1. Start by isolating \( y \): \[ -5y = -3x + 25 \] \[ y = \frac{3}{5}x - 5 \] From this, we can see that the slope ( \( m \) ) is \( \frac{3}{5} \) and the \( y \)-intercept ( \( b \) ) is \( -5 \). Now let’s talk about the powerful uses of linear equations in the real world! From predicting trends in sales and finance to modeling relationships in science and social studies, linear equations help us make sense of complex data. They're like a compass guiding us through the twists and turns of statistics! Problem-solving can be tricky with equations; a common mistake is to forget to switch the signs when isolating \( y \). This can lead to the wrong slope or \( y \)-intercept, which can throw off your graph completely! To avoid this, always double-check your work at each step.