Question

I need help on how to find m and b

Answer 1

y =
`-(1)/(2)x+3`

Explanation:

Slope of line passing through two points
`(x_1,y_1)` and
`(x_2,y_2)` is give by,

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

Therefore, slope of the line passing through the points (0, 3) and (2, 2),

m =
`(3-2)/(0-2)` =
`-(1)/(2)`

Y-intercept 'b' of the given line in the graph is (3).

Since, equation of line with slope 'm' and y-intercept 'b' is,

y = mx + b

Therefore,equation of the line given in graph will be,

y =
`-(1)/(2)x+3`