Answer:
y = -4x +1
Step-by-step explanation:
The slope-intercept form of a straight line is
y = mx +b
The formula for the slope (m) is
m = (y₂ - y₁)/(x₂ - x₁)
The two points on the line are
(-1, 5) and (1, -3)
m = (-3 – 5)/[1 – (-1)] Substitute the values
m = -8/(1+1)
m = -8/2
m = -4
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Substitute the value of m into the general formula.
y = -4x + b
At (-1, 5)
5 = -4(-1) + b Remove parentheses
5 = 4 + b Subtract 4 from each side
b = 1
The equation of the straight line is y = -4x +1.
