Answer: y = 2x/5 - 1
Step-by-step explanation:
The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m represents slope
c represents y intercept
The formula for calculating slope is expressed as
m = (y2 - y1)/(x2 - x1)
The given points are (0, -1) and (10, 3). thus,
x1 = 0, y1 = - 1
x2 = 10, y2 = 3
m = (3 - - 1)/(10 - 0) = (3 + 1)/10 = 4/10 = 2/5
By substituting m = 2/5 and c = - 1 into the slope intercept equation, the equation of the line is
y = 2x/5 - 1