Write an equation basing through the boing and parallel (-2,3); y=x+4

y = x + 5

Step-by-step explanation:

The given equation, y = x +4, is a linear equation written in slope-intercept form y = mx + b, where 'm' = slope and 'b' = y-intercept.  In this case, since we do not see an actual coefficient in front of the 'x', then we assume the slope = 1.  Parallel lines have the same slope, so our new equation must also have a slope = 1.  Since our new line passes through the point (-2, 3), we can use x = -2 and y = 3 to fill in our other variables in slope-intercept form and solve for 'b':  y = mx + b or 3 = (1)(-2) + b.  Using inverse operations, we add 2 to both sides:  3 +2 = -2 +2 +b and get b = 5.  Since slope (m) = 0 and b = 5, then our new equation is y = x + 5.

d. vertex

step-by-step explanation: