Final answer:
The equation of the line with a slope of 5 and a y-intercept of 7 is y = 5x + 7.
Step-by-step explanation:
The equation of a line in slope-intercept form is given as y = mx + b, where m is the slope of the line and b is the y-intercept. Given that the slope (m) is 5 and the y-intercept (b) is 7, the equation of the line can be written as y = 5x + 7. This equation tells us that for every increase of 1 on the x-axis, the value of y rises by 5 units, and the line crosses the y-axis at the point (0, 7).