Given the slope and \( y \)-intercept, write an equation A linear function has a slope of -5 and a \( y \)-intercept of 3 . Write the equation to represent this function. Checking your answer -.. \( y= \)

The equation of a linear function can be expressed in the slope-intercept form, which is \( y = mx + b \). Here, \( m \) represents the slope and \( b \) represents the \( y \)-intercept. Given that the slope is -5 and the \( y \)-intercept is 3, you would substitute these values into the equation. Thus, the function is represented as \( y = -5x + 3 \). To double-check your minds about how linear functions work: when you plot this equation, it starts at point (0, 3) on the \( y \)-axis and descends sharply as you move to the right, reflecting that negative slope! If you take any two points on this line, the change in \( y \) over the change in \( x \) will consistently give you that original slope of -5!