Question

Find the equation of a line with a slope of m=−2 passing through the point (3,5).

A) y=−2x+11
B) y=−2x+1
C) y=2x+1
D) y=2x−11

Answer 1

The equation of the line is y = -2x + 11.

Step-by-step explanation:

The equation of a line can be represented in the form y = mx + b, where m is the slope and b is the y-intercept. Given that the slope is -2 and the line passes through the point (3,5), we can substitute these values into the equation to find the equation of the line.

1. Substitute the slope (-2) and the coordinates of the point (3,5) into the equation:
2. y = -2x + b
3. 5 = -2(3) + b
4. Solve for b:
5. b = 5 + 6
6. b = 11
7. Plug the values of m and b back into the equation:
8. y = -2x + 11

Therefore, the equation of the line with a slope of -2 passing through the point (3,5) is y = -2x + 11.