Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

The slope (m) of a line passing through two points (x1,y1) and (x2,y2) is given by the formula:

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

Using the points (0,1) and (1,-4), we have:

m = (-4 - 1) / (1 - 0)
m = -5 / 1
m = -5

Now that we have the slope, we can use the point-slope form of the equation of a line to write the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

Using the slope (-5) and the point (0,1):

1 = -5(0) + b
1 = b

Therefore, the y-intercept (b) is 1. So, the equation of the line in slope-intercept form is:

y = -5x + 1