Algebra 151math

Question

Find the equation of the linear function ff that has f(−11)=16f(-11)=16 and f(4)=1f(4)=1.

fond it in slope form

Answer 1

f(−11) = 16 means the point (-11, 16) is on the line

f(4) = 1 means the point (4, 1) is on the line

Use the slope formula to find the slope:

m = (1 - 16)/(4 - - 11) = -15/15 = -1

Now use the point-slope form of a line to get the equation:

Let the point (x₁, y₁) be (4, 1)

y - 1 = -1(x - 4)

y - 1 = -1x + 4

y = -x + 5