Answer:
(-1,5)
Step-by-step explanation:
When a line segment is divided in the ratio m:n, we use the section formula to determine the point P which divides the line segment:
The coordinates of x and y are:
Given:
The coordinates of P is:
Answer:
-3/4
Step-by-step explanation:
To find the slope, plug the coordinates into the slope formula.
y2 - y1 / x2 - x1
4 - (-2) / -7 - 1
6 / - 8
-3/4
9 3/10- 1 7/10 is 7.6 or 7 3/5
I think that the number that would complete the number sequence is 38. My reasoning is that as the numbers increase, there is a sort of pattern to them. 3 goes to 8, increasing by 5. 8 goes to 14, increasing by 6. 12 goes to 21, increasing by 7. 21 increases to 29 by 8, so logically, 29 would increase to 38 by 9, following the current pattern of increase.
First, simplify the equation to slope intercept form to find the slope;
2x+3y=4
3y=4-2x
y=(-2x+4)/3
The slopes of parallel lines are the same, therefore, the slope of the second line would also be -2/3
Write out the slope intercept form with the information we know and input the coordinates of the point;
y=mx+c
-4=(-2/3)(1)+c
-4+(2/3)=c
(-12/3)+(2/3)=c
-10/3=c
Therefore, the final equation is y=-2/3x-10/3
Hope I helped :)
