Question 451233
Demonstrate by determining the slope of "3x + 5y = 19.
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3x + 5y = 19
This is a first degree equation, so it is a straight line.
It is of the standard form: y=m(x+b), with m=slope and b, the y-intercept
Change given equation to standard form:
5y=-3x+19
y=-3x/5+19/5
slope=-3/5
y-intercept =19/5

You can always write the equation of a straight line, if given slope and y-intercept, slope and a point on the line, or two points on the line. The following graph gives you a visual of the equation of the given straight line. Note the negative slope and y-intercept.

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{{{ graph( 300, 300, -10,  10, -10, 10,-3x/5+19/5) }}}