Given the equation y-2=3(x+3), state the slope and a point on the given line

Answer 1

y - 2 = 3(x + 3) Point-Slope Form for the equation of a line

y - y₀ = m(x - x₀) General equation for Point-Slope Form for the equation of a line

Matching the form to the specific equation shows that:

y₀ = 2 The y-coordinate of a point on the line

m = 3 The slope of the line

x₀ = -3 The x-coordinate of a point on the line

So, the slope is m = 3 and the point is (-3, 2).

Answer 2

The equation is in slope-point format y - y1 = m(x - x1), where m is the slope and x1,y1 is a point on the line.

Given that formula and the equation y - 2 = 3(x + 3), we see that m, the slope = 3 and a point on the line (x1,y1) = (-3,2).