Answer:
y = (7/3)x - 8/3
Explanation:
Hope this helps:
To find the slope-intercept form of the equation of the line through the points (1, -5) and (4, 2), we need to first find the slope of the line.
The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the formula:
m = (y2 - y1) / (x2 - x1)
Using the coordinates of the two given points, we get:
m = (2 - (-5)) / (4 - 1)
m = 7 / 3
Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation of the line:
y - y1 = m(x - x1)
Using the point (1, -5) and the slope we just found, we get:
y - (-5) = (7/3)(x - 1)
Simplifying and rearranging the equation, we get:
y = (7/3)x - 8/3
So the slope-intercept form of the equation of the line passing through the points (1, -5) and (4, 2) is:
y = (7/3)x - 8/3