Question

What is anequation of the line that passes through the points (-7,3) and (-4,3)?

Answer 1

y = 3

Step-by-step explanation:

Equation of line formula:

y = mx + b

m = slope

b = y-intercept

Points: (-7,3) and (-4,3)

we apply the slope formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} x_1=-7,y_1=3,x_2=-4,y_2\text{ = }3 \\ m\text{ = }(3-3)/(-4-(-7))=(0)/(-4+7) \\ m\text{ = 0/3} \\ m\text{ = 0} \end{gathered}`

To get c, we use any of the points in the equation of line

Using point (-7, 3) = (x, y)

y = mx + b

3 = 0(-7) + b

3 = 0 + b

3 = b

The equation of line for the given points:

y = 0(x) + 3

y = 0 = 3

y = 3

Hence, the equation is y = 3