find f(a) if f(t) equals 2t2 -t - 2 find the slope of a line that passes through (2,4,)(-7,8)

f(a)=2a2 - a -2

slope= (4-8)/(2-(-7)) figure out how I did that.

for the sloe question the multiple choices are either -4/9,-4/5,5/4,-9/4 which one is it

the slope question was a line that passes through 2,4 and -7,8

find the slope of a line that passes through 2,4 and -7,8 the mutiple choices are -4/9, -4/9, 5 /4, -9/4 which one is it

To find f(a), substitute the value of a into the function f(t) and evaluate it.

Given: f(t) = 2t^2 - t - 2

To find f(a), replace t with a:

f(a) = 2a^2 - a - 2

Therefore, f(a) = 2a^2 - a - 2.

Now, let's move on to finding the slope of a line passing through (2,4) and (-7,8).

The formula to calculate the slope of a line passing through two points (x1, y1) and (x2, y2) is:

slope = (y2 - y1) / (x2 - x1)

Given points: (2, 4) and (-7, 8)

Let's calculate the slope using the formula:

slope = (8 - 4) / (-7 - 2)
= 4 / -9

Therefore, the slope of the line passing through (2, 4) and (-7, 8) is -4/9.