Question

PLEASE HELP ASAP

Three key features of a linear function are described as shown.
• The graph of the function has a y-intercept of (0, 3) .
• The function is increasing over its entire domain.
• The x-intercept of the function is (-4, 0).

Answer 1

Explanation:

the slope-intercept form is

y = ax + b

a being the slope, b being the y-intercept (the y-value when x = 0), which we get from (0, 3) : 3.

the slope is the ratio (y coordinate difference / x coordinate difference) when going from one point on the line to another.

we got 2 points, so, let's use them :

(-4, 0) and (0, 3)

x changes by +4 (from -4 to 0).

y charges by +3 (from 0 to +3).

so, the slope is +3/+4 = 3/4.

therefore, our equation is

y = f(x) = (3/4)x + 3