Find the equation of the line, in point-slope form then slope-intercept form, that passes through the points: (3, −4)and (6, 8).

Point slope: y+4=4(x-3)

Slope-intercept: y=4x-16

Step-by-step explanation:

1. Use the slope formula to find the slope.

y2-y1/x2-x1

8--4/6-3 = 12/3

Slope is 4

2. Use the slope and one of the coordinates to put the equation in point-slope form.

Point slope form: y-y1=m(x-x1)

y+4=4(x-3)

3. Distribute and simplify to put it in slope-intercept form.

y+4=4x-12

y=4x-16

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !