Answer:
y = -0.5x + 1
Explanation:
The slope intercept form of a line is given by:
y = mx + b
where m is the slope of the line and b is the y-intercept (i.e. the point at which the line crosses the y-axis). To find the equation of a line using two points, we can use the slope formula to calculate the slope, then use one of the points to find the y-intercept.
The slope of a line is given by:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two given points into this formula, we get:
m = (-1 - 1) / (4 - 0) = -2 / 4 = -1/2
Now that we know the slope of the line, we can use one of the points to find the y-intercept. Let's use the point (4,-1):
y = mx + b
-1 = (-1/2) * 4 + b
-1 = -2 + b
b = 1
Therefore, the equation of the line that passes through the points (4,-1) and (0,1) in slope intercept form is:
y = (-1/2)x + 1
Note that the equation can also be written as:
y = -0.5x + 1