2y + x = 12
At the x-intercept, y=0:
x = 12
At the y-intercept, x=0:
2y = 12
y = 6
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You would set the equation equal to 0 and then solve for x. You may get one or several answers for x, x being the number(s) that make the equation equal 0.
Set 'x' equal to zero, and solve the remaining equation for 'y'.
You didn't specify the equation. A minimum or maximum value of a function is often found by calculating the derivative of a function, writing an equation for derivative equal to zero, and then analyzing points where the derivative either doesn't exist, or is equal to zero. You'll find find information about this in introductory calculus books.
The slope is the gradient which is y2-y1/x2-x1 To find the y int you set the equation of the line equal to zero i think :/