Write the equation of a line through points (5,5) and 1,0) in point slope form.

The answer is:

The correct option is the first option,

To solve this problem, we need to remember that the point-slope form of a line is given by the following equation:

We are given two points of the line,

Where,

Then, substituting the given points into the equation ,to calculate m (slope), we have:

The slope of the function is

Now, substituting "x1" and "y1" and the slope in the point-slope equation, we have:

Hence, the correct option is the first option,

Have a nice day!

The correct answer is first option

y = 5/4(x - 1)

Step-by-step explanation:

It is given two coordinates (5, 5) and (1, 0)

To find the slope

Slope = (y₂ - y₁)/(x₂- x₁)

slope = (5 - 0)/(5 - 1) = 5/4

To find the equation

(y - y₁)/(x - x₁) = 5/4

(y - 0)/(x - 1) = 5/4

y = 5/4(x - 1)

The correct answer is first option

the height of the surface increases from the center out to the sides of the road.

step-by-step explanation:

as we move out we move away from the x-axis.

and as mentioned in the problem statement that height of a road increases when we move away from the center x.

hence proved that 3rd option

the height of the surface increases from the center out to the sides of the road.

is the correct option.