Question 146541
When they give you:
f(3)=6 and f(-4)=2
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'y' is defined as 'f(x)', therefore they gave you two points:
(x,y) = (3,6)
(x,y) = (-4,2)
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Calculate the slope of the line from:
slope = m = (y2-y1)/(x2-x1)
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slope = m = (y2-y1)/(x2-x1)
slope = m = (6-2)/(3-(-4))
slope = m = (4)/(3+4) = 4/7
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Remember, the slope-intercept of a line is:
y = mx + b
plug in one (let's use (3,6)) of the two given points (doesn't matter which one) and the calculated slope and solve for b:
y = mx + b
6 = (4/7)(3) + b
42 = 12 + b
30 = b
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Recapping, we found:
m = 4/7
b = 30
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Plug it all back into:
y = mx + b
y = (4/7)x + 30
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That's it, you're done.