Write an equation for this linear function.

Question

f(-5)=-1 and f(2)=4

Answer 1

f(-5)=-1 means the point (-1, 4) is on the line and f(2)=4 means the point (2, 4) is on the line.

Using the slope formula:

we can calculate the slope:

m = (4 - -1)/(2 - -5) = 5/7

Using the point-slope form of a line:

we can write the equation of the line:

y - -1 = (5/7)(x - -5)

y + 1 = (5/7)(x + 5)

Answer 2

Start with two-point form from Algebra 1.

(y - 1) / (x + 5) = (4 - 1) / (2 + 5)