Question
A graph has a y intercept of 2 and nest point is -1,4 what is the slope intercept form equation for this graph
Answers
Answered by
GPT 3.5
To find the slope-intercept form equation for this graph, we first need to determine the slope using the given points.
The slope formula is:
m = (y2 - y1) / (x2 - x1)
Given points:
Point 1: (-1,4)
Point 2: (0,2)
Substitute the values into the formula:
m = (4 - 2) / (-1 - 0)
m = 2 / -1
m = -2
Now that we have the slope, we can write the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept:
y = -2x + 2
Therefore, the equation for the graph with a y-intercept of 2 and a point of -1,4 is y = -2x + 2.
The slope formula is:
m = (y2 - y1) / (x2 - x1)
Given points:
Point 1: (-1,4)
Point 2: (0,2)
Substitute the values into the formula:
m = (4 - 2) / (-1 - 0)
m = 2 / -1
m = -2
Now that we have the slope, we can write the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept:
y = -2x + 2
Therefore, the equation for the graph with a y-intercept of 2 and a point of -1,4 is y = -2x + 2.