Answer:
1/12
Step-by-step explanation:
Answer:
Slope: -1/4; Y-Intercept: 1.5
Step-by-step explanation:
Step 1: Find the slope. The best way to do this is to transform the two given points to y=mx+b form. When given two points, the best way to find the slope will be to do y2-y1/x2-x1. In this equation it would be -2-0/2+6, which is -2/8, simplified is -0.25 or -1/4. So we have the slope, which can determine the length of the line.
Step 2: Find the Y-Intercept. Finding the Y-intercept is so much simpler when given a graph, since all you have to do is find where the line goes through the y-axis, which in this case is (0,1.5), meaning that the y-intercept is 1.5 <em>(note: the y-intercept can also be found when x=0, for example (0,9).</em>
Hope this helped, good luck!
Answer:
(D)5
Step-by-step explanation:
Given the point J(-3,1) and K(8,11).
The line segment that divides the segment from J to K in any given ratio can be determined using the formula.

In the given case:
, m:n=2:3
Since we are to determine the y-coordinate of the point that divides JK into a ratio of 2:3, we have:

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is 5.
The correct option is D.
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept
so
For m> 0, b<0
the solution in the attached figure