Question

Write an equation of the line containing (-2,5) and (3,5)?

Answer 1

y = 5

Explanation:

formula for finding the equation of a line is y = mx + c

where m is the gradient of the line, c is where the line cuts the y-axis.

x and y are points on the line

step1 : Find the gradient of the line

m = (y2 -y1)/(x2-x1)

m= (5 - 5)/(3 - (-2)) = 0/5 = 0

put m into the equation which now becomes

y = 0x + c

pick any of the two points and plug the values inside the new equation (y = 0x + c) to find c

now using the point (3, 5)

5 = 0(3) + c

5 = 0 + c

therefore c = 5

our final equation will be y = 5

Answer 2

y = 5

Explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, 5)

m =
`(5-5)/(3+2)` =
`(0)/(5)` = 0

This indicates the line is horizontal and parallel to the x0 axis.

The equation of a horizontal line is

y = c

where c is the value of the y- coordinate the line passes through

The line passes through (- 2, 5) and (3, 5) both y- coordinates of 5, thus

y = 5 ← equation of horizontal line