Write an equation in slope intercept form for each table
x -7, 0, 7, 14
y 1, -1, -3, -5
What is the slope and y intercept
change in y/change in x = -2/7 = m
so
y = (-2/7) x + b
put in any old point from the table, like (0,-1)
-1 = 0 + b
so
y = (-2/7) x - 1
or
7 y = -2 x - 7
Thank you
To write an equation in slope-intercept form, we need to use the formula: y = mx + b, where m represents the slope and b represents the y-intercept.
Given the table:
x: -7, 0, 7, 14
y: 1, -1, -3, -5
To find the slope (m), we can use any two points from the table. Let's use the points (-7, 1) and (0, -1):
m = (change in y) / (change in x)
m = (-1 - 1) / (0 - (-7))
m = -2 / 7
So, the slope (m) is -2/7.
To find the y-intercept (b), we can choose either point from the table and substitute it into the equation y = mx + b. We'll use the point (0, -1):
y = mx + b
-1 = (-2/7)(0) + b
-1 = b
So, the y-intercept (b) is -1.
Therefore, the equation in slope-intercept form for the given table is:
y = (-2/7)x - 1
Thus, the slope is -2/7, and the y-intercept is -1.