Final answer:
The equation of a line given the point (0,5) and slope (5/3) is y = (5/3)x + 5.
Step-by-step explanation:
In the given question, we need to find the equation of a line given the point (0,5) and the slope m which equals 5/3. The general form of the equation is y = mx + b, where m stands for the slope and b is the y-intercept.
Substituting the given information directly to the equation, we can write it as y = (5/3)x + b. Now remember, the point (0,5) is a point on this line meaning when x = 0, y is 5. Substituting these values into the equation gives 5 = (5/3)*0 + b. Solving the equation, we find b = 5.
So, the equation of the line with the given slope and point is y = (5/3)x + 5.
Correct (0,5),m=(5)/(3) with the given y-intercept and slope.
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