Question

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Find an equation of the line that satisfies the given conditions.
y-intercept 1; parallel to the line 3x + 4y + 9 = 0

Answer 1

y = -3/4x + 1

Explanation:

lines are parallel if their slopes are equal

we can find the slope of 3x + 4y + 9 = 0 by changing it into 'y = mx + b' or slope-intercept form:

3x + 4y = -9

4y = -3x - 9

y = -3/4x - 9/4

slope = -3/4

y-intercept = 1

therefore, answer is y = -3/4x + 1