How do you put the equation #2y-3x=5# into slope-intercept form, and graph the equation?

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Answer 1 · 2018-07-18T02:00:18

#color(red)("Slope - Intercept form is " y = (3/2) x + 5/2)#

#:. color(brown)("Slope " = m = 3/2, " y-intercept " = c = 5/2#

#"Slope - Intercept form of an eqn is written as " y = m x + c#

#"where " m " is the slope and " c " the y-intercept"#

#m = tan theta = (y) / (x), c = y " when " x = 0#

#"Given equation is " 2y - 3x = 5#

#2y = 3 x + 5#

#color(red)(y = (3/2) x + 5/2)#

#:. color(brown)("Slope " = m = 3/2, " y-intercept " = c = 5/2#

graph{(3/2)x + (5/2) [-10, 10, -5, 5]}