Final answer:
Using the equation of a line y = mx + b and substituting the given slope m = 4 and point (3, 25), we calculate the y-intercept to be 13, meaning the line crosses the y-axis at (0, 13).
Step-by-step explanation:
To determine the y-intercept with the given information (slope m = 4 and a point (3, 25)), we can use the equation of a straight line, y = mx + b, where m is the slope and b is the y-intercept. Since we are given a point through which the line passes, we can substitute the x and y values of this point, as well as the slope into the equation to solve for b. Substitution gives us: 25 = (4)(3) + b. Simplify this to 25 = 12 + b. Now, subtract 12 from both sides to isolate b: 25 - 12 = b. This simplifies to b = 13. Therefore, the y-intercept of the line is 13, which means the line intersects the y-axis at (0, 13).