Write an equation for (-4,1),(6,1)

Answer 1

First, you need to remember the equation of a line: y=mx+b

y=the y coordinate from either coordinate pair

x=the x coordinate from the same pair

m=slope. Slope is calculated by the equation y2-y1/x2-x1 or rise over run

calculate the slope and put it place of m and then substitute in the x and y coordinates, from the same coordinate pair, in the equation. After this is done, solve for b (the y intercept) using algebra and you will have your equation

Answer 2

Given the two points you can have an equation using the slope form equation.

y = mx + b, slope form equation

where: m is the slope and b is the y-intercept.

To compute the slope we have m=y₂ -y₁ / x₂ - x_1. came from this order pair (x_1,y₁) and (x₂, y₂).

m=y₂ -y₁ / x₂ - x₁

Given: x₁=-4, y₁ = 1, x₂ = 6, y₂ =1 from this order pair (-4,1) and (6,1)

m= 1-1 / 6-(-4)

m=0/10 = undefined. the equation does not have a slope.

thein using the slope form substitute one pair to get the y-intercept,

I used the first pair (-4, 1)

1= b

hence, substitute the value of b and to the slope form equation. we have,

y=1.

therefore , the equation is y=1 where it is horizontal line and passes through the point 1 in y-axis.