Write an equation in slope intercept form when given two pieces of key information about the line
Goes through the points (-6,1) and (-3,2)
To find the slope-intercept form equation, we need to find the slope and the y-intercept of the line.
The slope (m) can be found using the formula:
m = (y2 - y1) / (x2 - x1),
where (x1, y1) = (-6, 1) and (x2, y2) = (-3, 2).
So, substituting the values into the slope formula:
m = (2 - 1) / (-3 - (-6))
= 1 / (-3 + 6)
= 1 / 3
= 1/3.
Now, we have the slope (m = 1/3). We can use the point-slope form of the equation to find the equation of the line:
y - y1 = m(x - x1).
Using either of the given points, let's use (x1, y1) = (-6, 1):
y - 1 = (1/3)(x - (-6))
y - 1 = (1/3)(x + 6)
y - 1 = (1/3)x + 2
y = (1/3)x + 2 + 1
y = (1/3)x + 3.
Therefore, the equation of the line in slope-intercept form is y = (1/3)x + 3.