The equation of the line passing through the points (4, 15) and (2, 25) can be expressed as y = mx + b. give the value of b.

Slope formula: y1-y2/x1-x2=m, given that x and y are coordinates and m is the slope. You have two sets of coordinates in your question, so I will first use those to find the slope of the equation:

15-25/4-2=m

This reduces to -10/2, or -5.

Slope intercept form: y=mx+b, given m is the slope and b is the y-intercept. Plug the slope in now.

y=-5x+b

Now, use one of the coordinates in the question to solve for b. I'm using (4,15).

15=-5(4)+b

15=-20+b

Add 20 to both sides.

35=b

Your equation is: y=-5x+35

and b=35

I hope this helps :)

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