Question
graphing equations practice
unit 3 lesson 7
use the image to answer the question
(0,-2), (3,0)
write the equation of the line in slope intercept form
unit 3 lesson 7
use the image to answer the question
(0,-2), (3,0)
write the equation of the line in slope intercept form
Answers
GPT 3.5
To find the equation of the line in slope-intercept form, we need to find the slope and the y-intercept.
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
Using the given points (0, -2) and (3, 0), the slope (m) can be calculated as:
m = (0 - (-2)) / (3 - 0)
m = 2 / 3
The y-intercept (b) can be found by substituting the coordinates of any point on the line and the slope into the slope-intercept form equation: y = mx + b. Let's use the point (0, -2):
-2 = (2/3)(0) + b
-2 = b
So, the equation of the line in slope-intercept form is:
y = (2/3)x - 2
The slope (m) can be calculated using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
Using the given points (0, -2) and (3, 0), the slope (m) can be calculated as:
m = (0 - (-2)) / (3 - 0)
m = 2 / 3
The y-intercept (b) can be found by substituting the coordinates of any point on the line and the slope into the slope-intercept form equation: y = mx + b. Let's use the point (0, -2):
-2 = (2/3)(0) + b
-2 = b
So, the equation of the line in slope-intercept form is:
y = (2/3)x - 2