A line's slope is 5. The line passes through the point (5, 30). Find an equation for this line in both point-slope and slope-intercept form A) An equation for this line in point-slope form is:

B) An equation for this line in slope-intercept form is.​

A)

B)  

Step-by-step explanation:

A) We know the slope and a point the line intersects. This means we have enough information to write the equation in point-slope form, or . Substitute values for the , and .

represents the slope, thus substitute 5 in its place in the equation. and represent the x and y values of a point the line intersects, thus use the x and y values of (5,30). Substitute 5 for and 30 for . This will give the following equation in point-slope form and one of the answers:

B) Now, to find the equation of the line in slope-intercept form, or  format, isolate y in the point-slope form of the equation like below.

Thus, is the slope-intercept form of the equation.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total