The equation y = 0.3x + b represents a line in a two-dimensional coordinate system, where x and y are the coordinates of points on the line. The equation describes the relationship between x and y such that for a given value of x, the corresponding value of y can be found.
If the graph of y = 0.3x + b goes through the point N(5,d), that means that the x-coordinate of the point is 5 and the y-coordinate is d. We can use this information to find the value of b.
Plugging x = 5 into the equation y = 0.3x + b, we get:
y = 0.3 * 5 + b
y = 1.5 + b
So, now we know that the y-coordinate of the point N(5,d) is d = 1.5 + b.
Since we know that the y-coordinate of the point is d, we can substitute this into the equation:
d = 1.5 + b
Solving for b, we get:
b = d - 1.5
So, the value of b is equal to the y-coordinate of the point N(5,d) minus 1.5.