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Finding the Slope

Q: Can you show me how to find the slope of a line with the equation (y+3)=5(x-2)?

A: First, turn the equation into slope-intercept form, y=mx+b. Do this by isolating for y in the equation.

y + 3 = 5x – 10
y = 5x – 10 – 3
y = 5x – 13

Compare this to the general equation for a line: y=mx+b.

You should see that m = 5 and b = -13. This means that the slope is 5.