Final answer:
The slope-intercept form of the line passing through two points is y = mx + b.
Step-by-step explanation:
The slope-intercept form of a linear equation is given by y = mx + b, where m represents the slope and b represents the y-intercept.
To find the slope, we use the formula (change in y)/(change in x). For the points (1,-2) and (-1,-4), the slope is (y2-y1)/(x2-x1) = (-4-(-2))/(-1-1) = -2/(-2) = 1.
Substituting the slope (-2/2 =1) and one of the points (1,-2) into the equation, we get y = 1x + b. Solving for b, we can substitute the coordinates of the point (1,-2) to find the value of b. Therefore, the equation of the line is y = x - 3.