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

The value of "d" will be "25".

Given:

Points,

Equation,

then,

Slope,

As we know,

→

By substituting the values, we get

→  

→  

→      

By applying cross multiplication, we get

→

→  

→      

Thus the above value of "d" is correct.

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

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

lets checkthe 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

It would be 5.

Reasoning:

Let's call the unknown value "x." To solve this, just add 9 to both sides of the equation.

The reason for adding 9 to both sides is to cancel out the -9 on the side with the unknown value, this would give you the answer once simplified in this way.

Step 1:

-4 = __ - 9

Step 2:

-4 = x - 9

Step 3:

-4 +9 = x - 9+9

Step 4:

5 = x