Question

5. Please write the equation of a line in y=mx+b format. Find the SLOPE first then find the Y-INTERCEPT (b) Your answer​

Answer 1

y =
`(5)/(3)x-1`

Explanation:

Let the equation of the line is,

y = mx + b

Here m = slope of the line

b = y-intercept

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

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

From the graph attached,

Since, the given line passes through (0, -1) and (3, 4),

Slope 'm' =
`(4+1)/(3-0)`

m =
`(5)/(3)`

y - intercept 'b' = -1

Therefore, equation of the line will be,

y =
`(5)/(3)x-1`