The general form and the standard form of the graph equation are 13x - 8y = 17 and 13x - 8y - 17 = 0 respectively
<h3>How to determine the equations?</h3>
From the graph, we have the following points
(x,y) = (5,6) and (-3,-7)
Start by calculating the slope:
This gives
Evaluate the differences
Evaluate the quotient
The equation is then calculated as:
This gives
Multiply through by 8
8y = 13(x - 5) + 48
Open the bracket
8y = 13x - 65 + 48
Evaluate the like terms
8y = 13x - 17
Subtract 13x from both sides
-13x + 8y = -17
Multiply through by -1
13x - 8y = 17 ---- this represents the standard form
Subtract 17 from both sides
13x - 8y - 17 = 0 --- this represents the general form
Hence, the general form and the standard form of the graph equation are 13x - 8y = 17 and 13x - 8y - 17 = 0 respectively
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Answer:
25 and 4
Step-by-step explanation:
you multiply 5 by 5 then add 2 and 2
For a quadratic equation ax^2 + bx + c = 0, the discriminant is given by b^2 - 4ac
Thus for a^2 - 2a + 5 = 0,
a = 1, b = -2 and c = 5
b^2 - 4ac = (-2)^2 - 4(1)(5) = 4 - 20 = -16