Question

Drag equations to each row to show why the equation of a straight line is y = 3x, where 3 is the slope. Math item stem image

Answer 1

Answer:

Step-by-step explanation:

The question lacks appropriate diagram. Find the diagram attached.

Slope is the change in coordinate of the y coordinate to the x coordinate.

Mathematically, slope m = ∆y/∆x

From the diagram ∆y is the same as 3 (along the vertical) while ∆x is the same as 1 (along the horizontal)

m = ∆y/∆x = 3/1

∆y/∆x = 3/1

y/x = 3/1

Cross multiply

y × 1 = 3 × x

y = 3x

Hence the slope of the line is y = 3x