Question

An equation in slope intercept form ( y= mX + B)

x - negative two, negative one, zero, one, two
y - -7, -4, -1, -2, -5

y = ___x + ____

Answer 1

y = -3x - 1

Answer 2

Are you sure

Answer 3

Apologies for the mistake. Let's try again.

Let's first find the slope (m) using the points (-2, -7) and (2, -5):
m = (y2 - y1) / (x2 - x1)
m = (-5 - (-7)) / (2 - (-2))
m = (-5 + 7) / (2 + 2)
m = 2 / 4
m = 1/2

Now, let's substitute one of the points into the slope-intercept form equation to find the y-intercept (B). Let's use the point (0, -1):
-1 = 1/2 * 0 + B
-1 = 0 + B
B = -1

Therefore, the equation in slope-intercept form is:
y = 1/2x - 1

Answer 4

Are you sure?

Answer 5

Apologies for the error in my previous response. Let's correct it.

Given points:
(-2, -7)
(-1, -4)
(0, -1)
(1, -2)
(2, -5)

Let's calculate the slope (m) using the points (-1, -4) and (0, -1):
m = (y2 - y1) / (x2 - x1)
m = (-1 - (-4)) / (0 - (-1))
m = (-1 + 4) / (0 + 1)
m = 3 / 1
m = 3

Now that we have the slope, let's substitute one of the points into the slope-intercept form equation to find the y-intercept (B). Using the point (0, -1):
-1 = 3(0) + B
-1 = 0 + B
B = -1

Therefore, the equation in slope-intercept form is:
y = 3x - 1