Q:

Which equations and/or functions represent the graphed line? Select four options. f(x) = 0.2x - 4 f(x) = 0.5x + 2 f(x) = 1/2x + 2y – 3 = 1/2(x – 2)y – 1 = 0.5(x + 2)

Accepted Solution

A:
Answer: f(x) = 0.2x - 4  (incorrect) f(x) = 0.5x + 2  (correct)f(x) = 1/2x + 2      (correct)y – 3 = 1/2(x – 2)     (correct) y – 1 = 0.5(x + 2)Step-by-step explanation:Step 1 : Find two coordinates(0, 2) (-4, 0)Step 2 : Find the slopeSlope = m = Y2-Y1/X2-X1m = 0-2/-4-0 m = -2/-4m = 1/2 or 0.5Step 3 : Find the y-interceptY-intercept is where the line intersects the y-axisc = 2Step 4 : Form the equation y=mx + cGiven Equations and their slope intercept forms:1) f(x) = 0.2x - 4 This is incorrect because slope is 1/2 or 0.5 and y intercept is 22) f(x) = 1/2x + 2y = 1/2x + 2This is correct because slope is 1/2 or 0.5 and y intercept is 23) f(x) = 0.5x + 2 y= 0.5x + 2 (As m=0.5)This is correct because slope is 1/2 or 0.5 and y intercept is 24) y – 3 = 1/2(x – 2)Rearranging in slope intercept form:y-3=1/2x - 1y = 1/2x-1+3y = 1/2x + 2This is correct because slope is 1/2 or 0.5 and y intercept is 25) y – 1 = 0.5(x + 2)y -1 = 0.5x+1y = 0.5x +1+1y = 0.5x + 2This is correct because slope is 1/2 or 0.5 and y intercept is 2!!