Question

A line passes through (-1,-1) (-4,5)

and
.Find the slope-intercept form of the equation of the line .

Then fill in the value of the slope, m, and the value of the y-intercept, b, below.

m b

Answer 1

The slope-intercept form of the line passing through the points (-1, -1) and (-4, 5) is y = -2x - 3, where the slope (m) is -2 and the y-intercept (b) is -3.

Step-by-step explanation:

To find the slope-intercept form of the equation of a line that passes through the points (-1, -1) and (-4, 5), we must first calculate the slope (m) and then use one of the points to find the y-intercept (b).

The slope (m) is calculated using the formula:

m = (y2 - y1) / (x2 - x1)

Thus with our points (-1, -1) and (-4, 5), it becomes:

m = (5 - (-1)) / (-4 - (-1))

= 6 / -3

= -2

Now, we use the slope and one of the points (-1, -1) to find the y-intercept.

Using the formula y = mx + b, we substitute in:

-1 = (-2)(-1) + b

b = -1 - 2

b = -3

The slope-intercept form of the line is thus:

y = -2x - 3

In conclusion, m = -2 and b = -3.