For the linear function h(x), if h(0) = -5 and h(5) = 15, which equation defines h?

Answer 1

f(x) = ax + b; h(0) = b = - 5; h(5) = 5a - 5 = 15; a = 4; h(x) = 4x - 5

Answer 2

linear function h(x) = y= mx +b

h(0) = -5, h(5) = 15

h(0)=-5= m(0) +b = b

b=-5

h(5) =15 = m(5) -5

5m = 15+5 =20

m =20/5 = 4

y = h(x) =4x-5 is the linear function

Answer 3

Either of these define the value of "h" at a certain value of "x" but it takes both of these to define the function h(x) PLUS we must also know that it is a linear function.

h(0) = -5 is just a single point on the function, the point (0, -5). A second point is (5, 15). Knowing that h(x) is a straight line would allow us to calculate the slope, and in combination with the y-intercept, we could write the function rule for h(x)