Question

Please help I already tried doing this so many times and can’t find my mistake.

Answer 1

The equation of a line with slope(m) that passes through two points (x₁,y₁) and (x₂,y₂) in Point-Slope is given by:

`y-y_1=m(x-x_1)`

Where the slope, m is:

`m=(y_2-y_1)/(x_2-x_1)`

From the graph, the coordinates of the yellow points are (0,5) and (6,9).

Substitute (x₁,y₁)=(0,5) and (x₂,y₂)=(6,9) into the slope formula:

`m=(9-5)/(6-0)=(4)/(6)=(2)/(3)`

Hence, the slope is 2/3.

Substitute m=2/3 and (x₁,y₁)=(0,5) into t

`m=(9-5)/(6-0)=(4)/(6)=(2)/(3)`

Hence, the slope is 2/3.

Substitute m=2/3 and (x₁,y₁)=(0,5) into t

`m=(9-5)/(6-0)=(4)/(6)=(2)/(3)`

Hence, the slope is 2/3.

Substitute m=2/3 and (x₁,y₁)=(0,5) into t