Question

Write the slope-intercept equation of the line parallel to 5y = 2x + 20 that goes through (-1, 3)

Answer 1

Answer:

$y = \frac{2}{5}x + 3\frac{2}{5}$

Step-by-step explanation:

This line was never finished, so you finish it like this:

$\frac{5y}{5} = \frac{2x + 20}{5} → y = \frac{2}{5}x + 4$

3 = −⅖ + b

$3\frac{2}{5} = b \\ \\ y = \frac{2}{5}x + 3\frac{2}{5}$

Parallel Lines have SIMILAR RATE OF CHANGES [SLOPES], so ⅖ remains the way it is.

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