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:
<em>Step 1 : Find two coordinates</em>
(0, 2) (-4, 0)
<em>Step 2 : Find the slope</em>
Slope = m = Y2-Y1/X2-X1
m = 0-2/-4-0
m = -2/-4
m = 1/2 or 0.5
<em>Step 3 : Find the y-intercept</em>
Y-intercept is where the line intersects the y-axis
c = 2
<em>Step 4 : Form the equation y=mx + c</em>
<em>Given Equations and their slope intercept forms:</em>
1) f(x) = 0.2x - 4
This is incorrect because slope is 1/2 or 0.5 and y intercept is 2
2) f(x) = 1/2x + 2
y = 1/2x + 2
This is correct because slope is 1/2 or 0.5 and y intercept is 2
3) 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 2
4) y – 3 = 1/2(x – 2)
Rearranging in slope intercept form:
y-3=1/2x - 1
y = 1/2x-1+3
y = 1/2x + 2
This is correct because slope is 1/2 or 0.5 and y intercept is 2
5) y – 1 = 0.5(x + 2)
y -1 = 0.5x+1
y = 0.5x +1+1
y = 0.5x + 2
This is correct because slope is 1/2 or 0.5 and y intercept is 2
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