Question

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

Answer 1

Answer:

y = x - 4

Step-by-step 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 = $\frac{-7 - -5}{-3 - -1}$ = $\frac{-2}{-2}$ = 1

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

Slope will be; $\frac{y - -5}{x - -1}$ = 1

Cross multiplying gives; y + 5 = x + 1

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

y = x - 4