The given equation is ⇒ y = -1.2 x + 24
<u>Part A : Graph the equation.</u>
To graph the equation, substitute with values of x then find y
The attached figure represents the table to graph the equation and the graph of the equation.
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<u>Part B : x-intercept</u>
To find x-intercept substitute with y = 0 and solve for x
∴ 0 = -1.2 x + 24
∴ 1.2 x = 24
∴ x = 24/1.2 = 20
x-intercept is at point (20,0)
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<u>Part C : y-intercept</u>
To find y-intercept substitute with x = 0 and solve for y
∴ y = -1.2 * 0 + 24
∴ y = 24
∴ y-intercept is at point (0,24)
If you would like to calculate x = 30 - 20, you can do this like this:
x = 30 - 20
x = 10
The correct result would be x = 10.
Start with y=mx+b
B is your y intercept
m is your slope
The points you have are (-1,4) and (1,-2)
To find the slow you Do Y2-Y1/X2-X1
(-2-4)/ (-1-1)
-6/-2
your m is 3
Now you go back to the equation of a Line y=mx+b
to find b (your y intercept) take on of the two points, and substitute it's y value in the equation Let's take (1,-2)
Y=mx+b
-2=3(1)+b
-2=3+b
b=-5
you now know that
b=-5
m=3x
The equation is
y=3x-5