Question

Find the the y- intercept equation for the two points ( 4,0) ( 0,2)

Answer 1

The y- intercept equation for the two points ( 4,0) ( 0,2) is 2

Solution:

Given that we have to find the y intercept of the equation

Given points are (4, 0) and (0, 2)

Let us first find the slope of line

The slope of line is given as:

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

Here in this sum,

`(x_1, y_1) = (4, 0)\\\\(x_2, y_2) = (0, 2)`

Substituting the values in formula, we get

`m = (2-0)/(0-4)\\\\m = (-1)/(2)`

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope and "c" is the y intercept

Substitute (x, y) = (4, 0) and m = -1/2 in eqn 1

`0 = (-1)/(2) * 4 + c\\\\0 = (-4)/(2) + c\\\\0 = -2 + c\\\\c = 2`

Thus y intercept of equation is 2