find the equation of the line that contains p5123 NOTE can y

find the equation of the line that contains p=(5,1)=2/3

NOTE:: can you please reveal step by step because I am still lost from previou questions Ive asked nd answers that were given.

Solution

The general slope-intercept form of the equation of a line is y = mx + c , where m is the slope and c is the y –intercept. We are given that m = 2/3. Then the equation of the line changes to y = (2/3) x + c. Further, since the line contains the point ( 5 , 1), on substituting x = 5 and y = 1 in the line’s equation, we get 1 = 2/3 (5) + c or, c = 1 – 10/3 = -7/3. Thus, the equation of the required line is y = (2/3)x - 7/3 or, 3y = 2x – 7.