Final answer:
The equation of the line that has a slope of 2 and passes through the point (4, 3) is y = 2x - 5. This is derived using the point-slope formula and simplifying it to slope-intercept form.
Step-by-step explanation:
The equation of a line that passes through a specific point – in this case, (4, 3) – and with a given slope can be determined using the point-slope formula: y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and m is the slope of the line. Given that the slope (m) is 2, we can plug the values into the formula to get:
y - 3 = 2(x - 4)
This simplifies to:
y - 3 = 2x - 8
And then adding 3 to both sides to get it into y = mx + b form gives us:
y = 2x - 5
This is the equation of the line with a slope of 2 that passes through the point (4, 3).