To find the equation of a line given a point and a slope, we can use the point-slope form of a linear equation, which is:
y – y1 = m(x – x1)
In this formula, (x1, y1) is the point the line passes through, and m is the slope of the line.
Given the point (4, 3) and the slope of 2, we can substitute these values into the equation:
- y – 3 = 2(x – 4)
Now, we can simplify this equation:
- y – 3 = 2x – 8
- y = 2x – 8 + 3
- y = 2x – 5
Thus, the equation of the line that passes through the point (4, 3) with a slope of 2 is:
y = 2x – 5