Final answer:
To find the equation of the line for point P(2, -3) with slope m = 3, use the point-slope formula and simplify to get the final equation y = 3x − 9 in slope-intercept form.
Step-by-step explanation:
To find the equation of the line that contains the given point P(2, −3) and has the given slope m = 3, we use the point-slope form of a line's equation, which is:y − y1 = m(x − x1)
Substituting the given point and slope into this formula, we get:y − (−3) = 3(x − 2)
Expanding this equation, we get:y + 3 = 3x − 6
Then, simplifying the equation by subtracting 3 from both sides, we find:y = 3x − 9
This is the linear equation in slope-intercept form that represents the line passing through the given point with the given slope.