Answer:
The standard equation of line is 5 x + 2 y = 10.
Step-by-step explanation:
X - intercept = 2
Point given = (4,-5)
Now, since x intercept is 2
⇒ the other point that line contains = (2,0)
So, the two point line contains is A(2,0) and B(4,-5)
The slope of the line AB = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
or, [tex]m = \frac{-5-0}{4-2} = -\frac{5}{2}[/tex]
⇒ the slope of AB is m = - (5/2)
By POINT SLOPE FORMULA:
The equation of a line with slope m and a point (x0, y0) is given as
(y-y0)= m (x-x0)
⇒ The equation of line with point (2,0) is
[tex]y - 0 = -(\frac{5}{2} )(x -2)\\\implies 2y + 5x = 10[/tex]
Hence, the standard equation of line is 5 x + 2 y = 10.
