The line passes through points (4,7) and (-5,-5), where the line intersects the y axis, what is the slope?
the slope is the same everywhere on the line
slope = (-5 - 7) / (-5 - 4)
you are so wrong Scott
Scott is absolutely right, if you had taken the 10 seconds to complete his calculations.
To find the slope of a line passing through two points, you can use the formula:
slope = (change in y)/(change in x) = (y2 - y1)/(x2 - x1)
In this case, the two points given are (4,7) and (-5,-5). Let's label them as (x1, y1) = (4,7) and (x2, y2) = (-5,-5).
Applying the formula, we have:
slope = (y2 - y1)/(x2 - x1)
slope = (-5 - 7)/(-5 - 4)
slope = (-12)/(-9)
slope = 4/3
Therefore, the slope of the line passing through the points (4,7) and (-5,-5) is 4/3.
To find where the line intersects the y-axis (y-intercept), we can use the slope-intercept form of a line equation: y = mx + b, where m is the slope and b is the y-intercept.
Using the point (4,7) which lies on the line:
7 = (4/3)(4) + b
7 = 16/3 + b
b = 7 - 16/3
b = 21/3 - 16/3
b = 5/3
Therefore, the line intersects the y-axis (y-intercept) at y = 5/3.