Question

Which equation represents a linear function? (5 points) Equation 1: y = 2x + 1 Equation 2: y2 = 3x + 1 Equation 3: y = 5x5 − 1 Equation 4: y = 4x4 − 1 Select one: a. Equation 1 b. Equation 2 c. Equation 3 d. Equation 4

Answer 1

a. Equation 1

Explanation:

The slope-intercept form of an equation of a linear function:

`y=mx+b`

m - slope

b - y-intercept

`Equation\ 1:\ y=2x+1\qquad\boxed{YES}\\\\Equation\ 2:\ y^2=3x+1\qquad\boxed{NO}\ because\ we\ have\ y^2\\\\Equation\ 3:\ y=5x^5-1\qquad\boxed{NO}\ because\ we\ have\ x^5\\\\Equation\ 4:y=4x^4-1\qquad\boxed{NO}\ because\ we\ have\ x^4`