Using the graph, derive the equation of the line in slope-intercept form. (1 point) points are (0,-4)&(1,-1)

Answer 1

To find the equation of the line in slope-intercept form, we first need to find the slope of the line using the two given points (0, -4) and (1, -1):

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

Now that we have the slope, we can use one of the points (0, -4) to find the y-intercept (b) and complete the equation of the line in slope-intercept form (y = mx + b):

y = mx + b
-4 = 3(0) + b
-4 = 0 + b
b = -4

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