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Answer :

The equation of a line is line is given as y = mx + c where m is the slope and c is the y-intercept

From the equation

-6x + 4y = 15

Changing into the form of the general equation

4y = 6x + 15

Divide both sides by 4

y = 6y/4 + 15/4

y = 3y/2 + 15/4

the x intercept is 0 while the y intercept is 15/4.