Final answer:
To find the equation of a line with a given slope and a point, we can use the point-slope form of a linear equation.
Step-by-step explanation:
To find the equation of a line with a given slope and a point on the line, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1). In this case, the slope (m) is 2 and the point (x1, y1) is (5, 3).
Substituting these values into the equation, we have y - 3 = 2(x - 5).
Next, we can simplify the equation to its standard form, which is in the form ax + by = c. Expanding and rearranging the equation, we get 2x - y = 7, which is the equation of the line.