Let's start by expressing f(0)=2 as (0,2), and f(5)=- 3 as (5,- 3). Note that 2 is the y-intercept of the function f. Therefore, we will use the Slope-Intercept form.
y= mx + bIn this form, m is the slope of the line and b is the y-intercept. To determine the slope of the line, we will use the Slope Formula with the given points.
Now that we know the slope of the line is - 1, we can write the equation of the line in Slope-Intercept Form.
f(x) = ( -1)x + 2 ⇔ f(x) = - x + 2
Please note that any point on the line can be used to form a Slope-Intercept form equation. Therefore, our equation is only one of infinitely many possible equations!
