Answer:
y = 6x +1
Step-by-step explanation:
To write the slope-intercept form equation for a line, you need to know the slope and the y-intercept. These can be found from their respective formulas.
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<h3>slope</h3>
The slope of a line between points (x1, y1) and (x2, y2) is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For points (-1, -5) and (0, 1), the slope is ...
m = (1 -(-5))/(0 -(-1)) = 6/1
m = 6
<h3>y-intercept</h3>
The y-intercept is the value of y where the line crosses the y-axis. That axis is where x = 0. There is a formula that can be used to find the y-intercept from the slope and a point on the line:
b = y -mx . . . . . y-intercept of line with slope m through point (x, y)
However, one of the given points is already the y-intercept: (0, 1). It tells you b=1.
<h3>equation</h3>
The slope-intercept equation is ...
y = mx +b
y = 6x +1
, parameterized by 
with 
. Then the work done by 
along 
