Use the equation for percentage of girls who are sexually...

Use the equation for percentage of girls who are sexually active in Exercise 25 to answer the following: a. If the slope of the equation is changed to $3,$ how would that affect the vertical intercept of the graph? b. If the slope of the equation is changed to 3 , how would that affect the horizontal intercept of the graph?

Use the equation for percentage of girls who are sexually active in Exercise 25 to answer the following:
a. If the slope of the equation is changed to $3,$ how would that affect the vertical intercept of the graph?
b. If the slope of the equation is changed to 3 , how would that affect the horizontal intercept of the graph?

Key Concepts

Horizontal Intercept

The horizontal (or x-) intercept is found by setting the dependent variable to zero and solving for the independent variable. This value depends on both the slope and the constant term. Altering the slope will change the position of the horizontal intercept unless adjustments are made to the constant term to compensate for the change in slope.

Slope

The slope represents the rate of change of the dependent variable with respect to the independent variable in a linear equation. It determines how steep the line is and the direction in which the line moves. Changing the slope alters the angle of the line but does not inherently affect the y-intercept unless other components of the equation are modified as well.

Vertical Intercept

The vertical (or y-) intercept is the point where the graph crosses the y-axis, which is determined solely by the constant term of the linear equation. When only the slope is changed and the constant remains the same, the vertical intercept remains unchanged.

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