The y-intercept of a line is the point at which the line crosses the y-axis. This means that the x-coordinate of the point is 0.
To find the equation of a line passing through two points, we use the slope-intercept form of the equation of a line: y = mx + b, where m is the slope of the line and b is the y-intercept.
To find the y-intercept of a line passing through two points, we can use the slope-intercept form of the equation of a line and the coordinates of the two points:
(y1, y2) = m(x1, x2) + b
m = (y2-y1)/(x2-x1)
In this case, the two points are (-1,-5) and (6,0)
m = (0-(-5))/(6-(-1)) = 5/7
We can substitute the slope in the slope-intercept form of the equation of a line:
y = mx + b
so we can substitute point (-1,-5) in the equation and solve for b
-5 = (5/7)*(-1) + b
b= -5 + (5/7) = -5 + 0.7142857142857143
So, the y-intercept of the line passing through the two points (-1,-5) and (6,0) is -4.2857142857142865