If the line through (-2,4) and (5, d) is parallel to the graph of y=3x+4, what is the value of d?

Y = 3x + 4 ... slope here is 3. A parallel line will have the same slope.

slope = (d - 4) / (5 - (-2) = (d - 4) / (5 + 2) = (d - 4) / 7 ... so d is going to have to be 25.

lets check ... the slope has to equal 3 to be a parallel line

(-2,4) (5,25)

slope = (25 - 4) / (5 - (-2) = 21 / (5 + 2) = 21/7 = 3 (correct)

so d = 25