Final answer:
To find the equation of a line that passes through a given point, we need the coordinates of that point and the slope of the line.
Step-by-step explanation:
To find the equation of a line that passes through a given point, we need the coordinates of that point and the slope of the line. If we have the coordinates of the point, we can substitute them into the equation y = mx + b and solve for b. If we have the slope of the line, we can substitute it into the equation along with the coordinates of the point and solve for b. The resulting equation will be the equation of the line that passes through the given point.
For example, if we have the coordinate of the point (2, 5) and the slope of the line is 3, we can substitute these values into the equation y = mx + b:
5 = (3)(2) + b
5 = 6 + b
b = -1
So the equation of the line that passes through the point (2, 5) with a slope of 3 is y = 3x - 1.