how to plot equation on a graph when graphing lines in standard form

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standard from of equation

y = mx + c

here m is slope and c is y intercept

10 x - 3y = -15

3 y = 10 x + 15

y = 10x /3 + 15 /3

y = 10 x /3 + 5

camparing this with standard equation

slope ,m = 10 /3 and y intercept = 5

so plot a graph with slope 10 / 3 and passing through 5 on y axis(that is point(0,5))

grapher (1).gif

this is the graph with slope 10 /3 and passing through ( 0,5)

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