Write an equation of the line in slope-intercept form.

f(3)=-2, f(0)=1

The equation of the line in slope-intercept form is y = -x + 1

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

The rule of the slope is m = , where

∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)

∴ f(3) = -2 is the point (3, -2)

∴ f(0) = 1 is the point (0, 1)

∴ x1 = 3 and y1 = -2

∴ x2 = 0 and y2 = 1

→ Substitute them in the rule of the slope to find it

∵ m = = =

∴ m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

∴ y = -x + b

∵ b is the value of y at x = 0

∵ at x = 0, y = 1

∴ b = 1

∴ y = -x + 1

∴ The equation of the line in slope-intercept form is y = -x + 1

d) -1

step-by-step explanation: