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What is the standard form equation if the line through (0,-7) slope of 3/4

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Put the slope (m) and y intercept into the form of y = mx + b. I'll give you a hint: the slope is how fast the values are changing as you move along the x-axis (this will become "time" in many cases as you study more) also called the "rise (how far up the y axis - this will represent "amplitude" in you future studies) over the run" - and it looks like a fraction. You can look up what "b" stands for.

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Thank you greatly appreciated
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My pleasure. I thought of another detail that may help you develop a real world use of the abstractions math is based on. Not long from where you are now, you'll be introduced to "functions" - you can think of an equation where some value (the amplitude - or "y" vertically plotted and the second number in defining an ordered pair, like (x, y); the y value of the plot point defined by this pair depends on the values applied to the first - x-value in some way - as defined by the equation). Example: instead of writing y = 2x, you write f(x) = 2x. The equation of the function is like a machine - you keep throwing numbers in for the x value (which will typically be used as a temporal value) and out pops the y value. You read the function as "the value for any x I assign (think of a truth table) will produce a corresponding y value, and the two values, the independent x values you drop into x produces a dependent value - which is the second term of the (x, y) ordered pair. First degree equations will get you a straight line when plotted, second degree equations (one with an exponent) will get you a curve. Calculus (differential) starts when you have to find the slope of any point on a curved plot - Newton invented calculus to figure out how to do this using a trick - where a secant drawn through the curve is "moved" toward the point in question - infinitesimally close - until it basically becomes a tangent to the point - of which you can easily find the slope. It sounds complicated, but if you understand why this is important - you'll have a real-world applications view as to just how brilliant this trick is.
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Given: slope, m = 3/4, point (0,-7)
1)Plug these into slope-intercept form:
y = mx + b & solve for b
-7 = (3/4)(0) + b
-7 = b
2) Equation is y = (3/4)x - 7 ANSWER

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So, far, it has taken Mark 3 hours to paint 20% of a fence. How much longer will it take him to complete the fence?

A. 10 hours
B. 12 hours
C. 15 hours
D. 20 hours
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15
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Set up a ratio:
Let x = amount of time to finish
3/20 = x/80. (He has 80% left.)
20x = 240. (I cross multiplied.)
/20. /20
x = 12

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Y=3/4x+-7

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