Explanation: The point-slope formula states: ( y − y 1 ) = m ( x − x 1 ) Where m is the slope and ( x 1 y 1 ) is a point the line passes through. Substituting the slope and values from the point in the problem gives: ( y − − 1 ) = 3 5 ( x − − 3 ) ( y + 1 ) = 3 5 ( x + 3 ) If you want the equation in the somewhat more familiar slope-intercept form we can solve this equation for y . The slope-intercept form of a linear equation is: y = m x + b Where m is the slope and b is the y-intercept value. y + 1 = ( 3 5 ⋅ x ) + ( 3 5 ⋅ 3 ) y + 1 = 3 5 x + 9 5 y + 1 − 1 = 3 5 x + 9 5 − 1 y + 0 = 3 5 x + 9 5 − 5 5
