Question

Which is an equation of the line that passes through (–1, –5) and (–3, –7)?

Question 6 options:

a)

y = –2x + 4


b)

y = –x – 4


c)

y = 2x + 4


d)

y = x – 4

Answer 1

y = x - 4

Explanation:

The line passes through (-1,-5) and (-3,-7)

The slope of a line is given by; change in y ÷ change in x

i.e slope =
`(-7 - -5)/(-3 - -1)` =
`(-2)/(-2)` = 1

Taking another point (x,y) on the line.

Slope will be;
`(y - -5)/(x - -1)` = 1

Cross multiplying gives; y + 5 = x + 1

Simplifying this equation gives us the equation of our line which is;

y = x - 4