Question

Can anyone help with this
please & we use y=mx+b

Answer 1

`y = -60x + 600`

Explanation:

Slope- intercept form of equation:

y = mx + b

Where:

1. m = slope (or gradient)

=
`(y_(2) - y_(2))/(x_(2) - x_(1))`

Two points are to be chosen from the provided graph for the above formula:

`(x_(1), y_(1)) =` (0,600)

`(x_(2), y_(2)) =` (5, 300)

which means

m =
`(300 - 600)/(5 - 0)`

=
`(-300)/(5)`

∴m =
`-60`

2. b = y-intercept

This is the y-value for which its corresponding x-coordinate is 0. In addition, this is the y-value at which the graph intersects the y-axis.

b can be either read directly from the graph or calculated mathematically:

From the graph:

b = 600

Substitute the values of m and b in the slope-intercept form of the equation.

∴Equation of this straight line:

`y = (-60)x + (600)`

`y = -60x +600`