Question

8.3.6 practice 1 explain what the slope and y - intercept mean in each situation. a. a graph represents the perimeter, y, in units, for an equilateral triangle with side length x units. the slope of the line is 3 and the y - intercept is 0.

Explanation:

The slope of 3 means that for every 1 - unit increase in the side - length $x$ of the equilateral triangle, the perimeter $y$ increases by 3 units. This is because the perimeter of an equilateral triangle is given by $y = 3x$ (since all three sides are equal), and the coefficient of $x$ is the slope. The $y$-intercept of 0 means that when the side - length $x$ of the equilateral triangle is 0 units, the perimeter $y$ is also 0 units.

Answer:

The slope of 3 indicates that the perimeter increases by 3 units for every 1 - unit increase in side - length. The $y$-intercept of 0 indicates that when the side - length is 0, the perimeter is 0.