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:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here in this sum,
[tex](x_1, y_1) = (4, 0)\\\\(x_2, y_2) = (0, 2)[/tex]
Substituting the values in formula, we get
[tex]m = \frac{2-0}{0-4}\\\\m = \frac{-1}{2}[/tex]
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
[tex]0 = \frac{-1}{2} \times 4 + c\\\\0 = \frac{-4}{2} + c\\\\0 = -2 + c\\\\c = 2[/tex]
Thus y intercept of equation is 2
