Question

Use the graph derive the equation of the line in slope intercept form
0,-4
1,-1

y = 5x + 1

y = -5x + 1

-5x - y = -1

y = -5x - 1

Answer 1

pick a answer choice

Answer 2

To find the equation of the line passing through the points (0, -4) and (1, -1), we first calculate the slope:

Slope (m) = (y2 - y1) / (x2 - x1)
Slope = (-1 - (-4)) / (1 - 0)
Slope = 3 / 1
Slope = 3

We can now use the slope-intercept form of a linear equation, y = mx + b, where m represents the slope and b represents the y-intercept. To find the value of b, we can substitute one of the given points into the equation.

Using the point (0, -4):
-4 = 3(0) + b
-4 = b

So, b = -4.

Therefore, the equation of the line passing through the points (0, -4) and (1, -1) is:
y = 3x - 4

Answer 3

The closest answer choice based on the previous calculations would be:

y = 3x - 4

Therefore, y = 3x - 4 is the equation of the line in slope-intercept form.