find the equation of the line that contains the poins 23 and

find the equation of the line that contains the poins (-2,3) and is parellel to the y=-4+3

Solution

Let the equation of the required line be y = mx + c, where m is the slope and c is the y -intercept. Since parallel lines have the same slope, and since the slope of the line y = -4x + 3 is -4, m = - 4.Therefore, the equation of the reqired line becomes y = -4x + c. Now, since this line passes through the point ( - 2, 3), we have 3 = - 4( - 2) + c or, 3 = 8 + c or, c = 3 - 8 = -5. Thus the equation of the required line is y = - 4x - 5

NOTE: There appears to be a typographical error in the equation of the given line. Here, x is erroneously missing.