Question

Write the standard form of a line that passes through the given points (4,7) and (0,7)

Answer 1

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept → (0, b).

We have the points (4, 7) and (0, 7) → b = 7.

Calculate the slope:

$m=\dfrac{7-7}{0-4}=\dfrac{0}{-4}=0$

Therefore we have $y=0x+7=7$

The standard form: $Ax+By=C$

Answer: y = 7.

It's a horizontal line.