Answer:
a) Both slopes are 4
b) The function g(x) has a greater y-intercept
Explanation:
a) To find the slope of the function g(x), simply look at the coefficient (the number before the variable x). In this case, the coefficient is 4, so your slope is 4. This is because the equation is in slope-intercept form: y = mx + b where m is the slope.
To find the slope of function f(x), take two y-coordinates (y-coordinates are found in the column f(x)) and subtract one from another. This is your rise. Then, take two x-coordinates (from column x) and subtract one from another. This is your run. Divide the rise by the run, and you have your slope. In this case, you should get 4/1, or 4.
b) To find the y-intercept for function g(x), take a look at slope-intercept form again: y = mx + b, where b represents the y-intercept. So, the "b" of g(x) = 4x + 3 is 3. Your y-intercept is 3.
To find the y-intercept of function f(x), locate the row where there is a zero under column x. In this case, it's the second row. The number -1 is your y-coordinate when x is zero. Your y-intercept is -1.
-1 is less than 3, so the y-intercept of function g(x) is greater.
Hope this helps!