What is the equation of the line with an x-intercept at 2 that contains the point (4,-5)

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 =

or,

⇒ 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

Hence, the standard equation of line is  5 x + 2 y = 10.

the opening of this porabola is facing up

step-by-step explanation: