Final answer:
To find the equation of a line in point-slope form, use the formula y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Plugging in the given values, the equation is y = 2x - 9.
Step-by-step explanation:
To find the equation of the line in point-slope form, we can use the formula y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the slope is 2 and the point is (7,5). Plugging in these values, we get y - 5 = 2(x - 7).
Next, we can simplify the equation to y - 5 = 2x - 14.
Finally, we can rearrange the equation to y = 2x - 9. This is the equation of the line in point-slope form.