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Asked by Isha Last Modified
Answer 
Hey,
Let's find the y intercept of the line: -4x + 6y = -12?
In the equation ax + by = c, the y-intercept is the point where the line crosses the y-axis. To find the y-intercept, we can set x = 0 and solve for y.
Let’s solve the equation for y:
Given that: ax + by =c
Deviding both the sides by constant 'b', we get: y = (c/b) - (a/b)x,
To find y intercept put x = 0, we get: y = (c/b) - (a/b)*0 = c/b
Now, comparing -4x + 6y = 12 with general equation ax + by = c, we get: a = -4, b = 6 & c = -12
Therefore: y = -12/6 = -2
Plot is attached.
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Rajendran Shanmugavadivelu
Dedicated Teacher With Lots of Teaching Experience In Maths For All Boards
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