Mathematics

Mathematics

Problem

Convert the equation y+2=34(x−5)y + 2 = \dfrac{3}{4}(x - 5) into slope–intercept form.
Intuitive explanation

This is about rewriting a linear equation into the standard form y=mx+by = mx + b, where you can instantly read off the slope and yy-intercept. The key move is to isolate yy by expanding the right side and then simplifying—treat it like any other algebra problem where you undo operations step by step. Once yy stands alone on the left, you'll have a clean picture of how steep the line is and where it crosses the yy-axis.

Intuitive explanation

This is about rewriting a linear equation into the standard form y=mx+by = mx + b, where you can instantly read off the slope and yy-intercept. The key move is to isolate yy by expanding the right side and then simplifying—treat it like any other algebra problem where you undo operations step by step. Once yy stands alone on the left, you'll have a clean picture of how steep the line is and where it crosses the yy-axis.

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