Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and since for b.
2 points are marked already :
(-3, 4) (3, -4)
x changes by +6 (from -3 to 3)
y changes by -8 (from 4 to -4)
the slope is -8/+6 = -8/6 = -4/3
the y-intercept is also clearly visible on the chart : the line crosses the y-axis precisely at (0, 0).
so, the y-intercept is 0.
