Find the equation of the line passing through the points (5,2) and (10,6).

Please explain if you can!

y = 4/5 x - 2

Step-by-step explanation:

Slope:

y₂ - y₁ / x₂ - x₁

6 - 2 / 10 - 5

4 / 5

y = 4/5 x + b

Solve for b by substituting one of the point's coordinate to the equation:

I'll use (5,2)

y = 4/5 x + b

(2) = 4/5 (5) + b

2 = 4 + b

2 - 4 = b

-2 = b

y = 4/5 x - 2

ok thats very interesting

y= 2x+7

changed to y= 5x +7

as slope is increased from 2 to 5

therefore it would be less steeper

so, option d) is correct