unit 3 lesson 7

Question

graphing equations quick check

use the image to answer the question
using the graph, derive the equation of the line in slope-intercept form.
(0,-4), (1,-1)

y=3x-4
y=3x+4
y=-3x-4
3x-y=4

Answer 1

To find the equation of the line in slope-intercept form, we need to find the slope and the y-intercept.

We can find the slope using the two given points (0, -4) and (1, -1).

The slope is given by the formula:
m = (y2 - y1) / (x2 - x1)

Using the points (0, -4) and (1, -1), we can substitute the values into the formula:
m = (-1 - (-4)) / (1 - 0)
m = 3 / 1
m = 3

Now that we have the slope, we can use the point-slope form of a line to find the equation:
y - y1 = m(x - x1)

Using the point (0, -4), we can substitute the values into the equation:
y - (-4) = 3(x - 0)
y + 4 = 3x

To write the equation in slope-intercept form, we need to isolate y:
y = 3x - 4

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