Which linear function f has the values f(0) = 3 and f(-4) = 0

Answer 1

y = (3/4)x + 3

You get the slope from the 2 conditions. The constant is selected to meet the point condition.

Answer 2

Since we are given two coordinate points, (0,3) and (-4,0), we can find the slope of the line that passes through these 2 points:

m = (0 - 3)/(-4 - 0) = 3/4

Since we know that y = 3 is our y-intercept based on the coordinate point (0,3), our equation then is:

f(x) = (3/4)x + 3

Answer 3

slope=m=3/[0-(-4)]=3/4

3/4 = y/(x+4) is the linear equation you want...and it can be "massaged" into any form you need.

Please note that this problem is just another way of asking for the equation of the line through (0,3) and (-4,0).