Question

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

Answer 1

Hello!

The answer is:

The correct option is the first option,

$y=\frac{5}{4} (x-1)$

Why?

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

$y-y_{1}=m(x-x_{1})\\\\y-0=\frac{5}{4}(x-1)$

We are given two points of the line,

$(5,5)\\(1,0)$

Where,

$x=5\\x_{1}=1\\y=5\\y_{1}=0$

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

$m=\frac{y-y_{1}}{x-x_{1}}$

$m=\frac{5-0}{5-1}=\frac{5}{4}$

The slope of the function is $\frac{5}{4}$

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

$(y-0)=\frac{5}{4} (x-1)$

$y=\frac{5}{4} (x-1)$

Hence, the correct option is the first option,

$y=\frac{5}{4} (x-1)$

Have a nice day!

Answer 2

Answer:

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