Final answer:
To find the y-intercept of the line with a slope of -2 that passes through point A(4,10), we substitute the point into the slope-intercept equation of a line and solve for b. The y-intercept is found to be 18, meaning the line crosses the y-axis at the point (0,18).
Step-by-step explanation:
The question is asking to find the y-intercept of a line with a known slope of -2 that passes through a given point A(4,10). To find the y-intercept, one can utilize the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept.
To calculate the y-intercept, we substitute the given point (4,10) into the equation and use the given slope of -2:
- y = mx + b
- 10 = -2(4) + b
- 10 = -8 + b
- 10 + 8 = b
- b = 18
So, the y-intercept of the line is 18. This means the line crosses the y-axis at the point (0,18).