Question

Write the equation of the line that has y-intercept of 4 and goes through the points (0,4) & (2.0) (Hint: use those points

to calculate slope first and write answer using y = mx + b)

Answer 1

y = -2x + 4

Explanation:

Let the equation of the line is,

y = mx + b

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

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

Slope of a line passing through (0, 4) and (2, 0) will be,

m =
`(4-0)/(0-2)`

= -2

Y-intercept of the line 'b' = 4

Therefore, equation of the line will be,

y = -2x + 4