Mathematics

Mathematics

Problem

Express 4y−9x+12=04y - 9x + 12 = 0 in the form y=mx+cy = mx + c and hence state the slope of the line.
Intuitive explanation

This problem is about rearranging a linear equation into slope-intercept form, where the coefficient of xx directly reveals the line's steepness. Isolate yy on one side by moving all other terms across the equals sign, then identify mm as the number multiplying xx—that's your slope. The beauty of this form is that it makes the slope and yy-intercept immediately visible.

Intuitive explanation

This problem is about rearranging a linear equation into slope-intercept form, where the coefficient of xx directly reveals the line's steepness. Isolate yy on one side by moving all other terms across the equals sign, then identify mm as the number multiplying xx—that's your slope. The beauty of this form is that it makes the slope and yy-intercept immediately visible.

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