what is the equation of a line that passes through the point (0,8) and is parallel to a line with a slope of 4/5?

The answer is y = 4/5x + 8.

Step-by-step explanation:

There is good reasoning behind why this is the answer. First, if you recall, parallel lines must have the same slope or they will at some point meet. With this information, you can pull from the given material that the slope for the equation you are trying to gather is 4/5.

Then, you can use the given point to find the y-intercept because the x-coordinate is 0 (directly on the y-axis) and your y-coordinate is 8. Your y-intercept is placed as a positive or negative value at the end of the equation (if in slope-intercept form), and because the 8 in the ordered pair is positive, you just need to add +8 to your equation.

With this information, you can conclude that the equation is y = 4/5x + 8.

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step-by-step explanation: