Consider the line represented by the equation 5x + 2y = 10. How is the slope of the line related to values of A, B, and C in standard form Ax + By = C?

Globokim8

Globokim8

Answered question

2021-02-16

Consider the line represented by the equation 5x+2y=10. How is the slope of the line related to values of A, B, and C in standard form Ax+By=C?

Answer & Explanation

oppturf

oppturf

Skilled2021-02-17Added 94 answers

Consider the standart form of equation:
Ax+By=C
Isolate the variable y term on one side of the equation:
By=Ax+c
Divide both sides of the equation with B to write the equation in slope intercept form:
y=ABx+CB
This implies that the slope of an equation written in standart form is AB, therefore the slope of 5x+2y=10 is 52

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