y - 7 = -3(x - 2) is written in point-slope form.
In this type of equation, it gives you a coordinates and the slope.
In this equation it gives the point (2, 7) and the slope -3.
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We can it into slope-intercept: y = -3x + b
But now we have to solve for the y-intercept using the point (2, 7).
y = -3x + b
7 = -3(2) + b
7 = -6 + b
7 + 6 = -6 + b + 6
13 = b
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Now, we can write the final equation as: y = -3x + 13
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Best Regards,
Wolfyy :)
