Final answer:
To find the equation of a line with a given slope and point, use the slope-intercept form equation and rearrange it to standard form.
Step-by-step explanation:
To find the equation of a line in standard form, you need to use the slope-intercept form equation (y = mx + b) and then rearrange it to standard form (Ax + By = C).
Given that the slope (m) is 4 and the line goes through the point (5,-2), you can substitute these values into the slope-intercept form equation:
y = 4x + b
Next, substitute the coordinates of the point (-2) for y and (5) for x:
-2 = 4(5) + b
Solving this equation will give you the y-intercept (b). Once you have b, you can rearrange the equation to standard form by multiplying through by a common denominator.