Which of the following is the equation of a line that passes through (-2, -1) and (-4, -3)

a. y = 1/2x + 1
b. y = x +1
c. y = 1/2x - 1
d. y = x -1

i already know the answer is b but how do you solve questions like these?

When you are given two points on a line, you can use them to find the gradient of the line.
Gradient = rise/run
Say you are given two points (a,b) and (c,d)
Gradient = (d-b)/(c-a)
In the case of your question,
Gradient
= [(-3) - (-1)] ÷ [(-4) - (-2)]
= -2 ÷ -2
= 1
From there, you can sub the gradient and one of the points into the gradient-intercept form of a line to get:
y - (-1) = 1(x - (-2))
y + 1 = x + 2
y = x + 1

Look at this and see if it

Ifound this on google “that means that the graph of a function with direct variation has these features: it is a straight line: because the slope is the ratio y/x = k. it passes through the origin (0,0): because y = kx = k (0) = 0.” i hope this you for what your looking for