Question

URGENT ! Slope Intercept Form

Which equation represents the graph?

a graph of a line that passes through the points (0,-1) and (1,-4)

y = -1/3 times x - 1
y = −3x − 1
y = -1/3 times x + 1/3
y = -3 times x + 1/3

Answer 1

The equation that represents the graph passing through the points (0,-1) and (1,-4) is y = -3x + 1/3

Answer 2

y = -3x - 1

Explanation:

To find the equation that represents the graph passing through the points (0, -1) and (1, -4), we can use the point-slope form of the equation of a line,

which is given by:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of one of the points on the line, and m is the slope of the line.

Let's use the first point (0, -1):

y - (-1) = m(x - 0)

y + 1 = m(x)

Now, let's use the second point (1, -4) to find the slope (m):

-4 + 1 = m(1)

-3 = m

Now we know the slope (m = -3), and we can write the equation using the slope-intercept form (y = mx + b):

y = -3x + b

To find the value of 'b', we can use any of the given points. Let's use (0, -1):

-1 = -3(0) + b

-1 = b

Now, we have the value of 'b', and the equation representing the graph is:

y = -3x - 1

Out of the provided options, the correct equation representing the graph is:

y = -3x - 1