Question

What is the y-intercept of a line where m=1, which has two coordinates (1,5) and (3,7)? (Hint: Use y=mx + b to find the y-intercept,)

Answer 1

The y-intercept of the line with m=1 and coordinates (1,5) and (3,7) is 4.

Step-by-step explanation:

The y-intercept of a line can be found using the equation y = mx + b. In this equation, m represents the slope of the line and b represents the y-intercept. To find the y-intercept when m=1 and you have two coordinates, you can use the equation y = mx + b and substitute the values of one of the coordinates and m into the equation and solve for b. Let's use the coordinate (1,5) and m=1 as an example.

1. Start with the equation y = mx + b.
2. Substitute the value of m=1 and the x and y coordinates from the given point (1,5).
3. By substituting these values, the equation becomes 5 = 1 * 1 + b.
4. Solve the equation for b by isolating the variable. In this case, subtract 1 from both sides to get b = 4.

Therefore, the y-intercept of the line where m=1 and the coordinates are (1,5) and (3,7) is 4.