Write the slope-intercept form of the equation of the line through the given points. (Hint: Make
a table)
through: (5, 4), (4, 3), (3, 2), (2, 1), (1, 0)
To find the slope-intercept form of the equation of the line through the given points, we can start by finding the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Taking the first two points (5, 4) and (4, 3), we can plug the values into the formula:
m = (3 - 4) / (4 - 5) = -1 / -1 = 1
Now that we have the slope, we can choose any point on the line and use the slope to find the y-intercept. Let's use the point (5, 4). We'll plug this point and the slope into the slope-intercept form equation:
y = mx + b
4 = 1(5) + b
4 = 5 + b
b = 4 - 5
b = -1
Now we have the y-intercept (b = -1), so we can write the equation of the line in slope-intercept form:
y = mx + b
y = 1x - 1
Therefore, the slope-intercept form of the equation of the line through the given points is y = x - 1.