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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...

read more 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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