Answer:
y = 5
Step-by-step 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 = [tex]\frac{5-5}{3+2}[/tex] = [tex]\frac{0}{5}[/tex] = 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
Answer:
y = 5
Step-by-step 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
