Answer:
-1
Step-by-step explanation:
For a line joining two points (x1, y1) and (x2, y2), it's slope is given as:
![\boxed{ \mathsf{slope = \frac{ y_{2} -y _{1}}{ x_{2} - x _{1}} }}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cmathsf%7Bslope%20%3D%20%20%5Cfrac%7B%20y_%7B2%7D%20-y%20%20_%7B1%7D%7D%7B%20x_%7B2%7D%20-%20x%20_%7B1%7D%7D%20%7D%7D)
Here, the two points are (-1, 6) and (2, 3) in place of (x1, y1) and (x2, y2).
Solving for slope:
![\implies \mathsf{ \frac{3 - 6}{2 - ( -1 )} }](https://tex.z-dn.net/?f=%20%5Cimplies%20%5Cmathsf%7B%20%5Cfrac%7B3%20-%206%7D%7B2%20-%20%28%20-1%20%29%7D%20%7D)
![\implies \mathsf{ \frac{ - 3}{2 + 1 } }](https://tex.z-dn.net/?f=%20%5Cimplies%20%5Cmathsf%7B%20%5Cfrac%7B%20-%203%7D%7B2%20%20%2B%201%20%7D%20%7D)
![\implies \mathsf{ \frac{ - 3}{3 } }](https://tex.z-dn.net/?f=%20%5Cimplies%20%5Cmathsf%7B%20%5Cfrac%7B%20-%203%7D%7B3%20%7D%20%7D)
![\implies \mathsf{ - 1 }](https://tex.z-dn.net/?f=%20%5Cimplies%20%5Cmathsf%7B%20%20-%201%20%7D)
Hence, the slope of the line joining the given points is <u>-1.</u>
Answer:
HCF of 15 and 18 = 3
3ft long is the greatest he can make
Answer is $924. First you must multiply 1200 by .3 for the sales tax. Giving you 360. You subtract 360 from 1200 giving you 840. Then you multiple 840 by .1 which gives you 84. You then add 84 to 840 giving you $924.
Answer:
y=6/5x-8
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through (5, -2) and has the slope of 6/5
We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
Since we are already given the slope of the line, we can immediately plug it into the equation:
y=6/5x+b
Now we need to find b
Since the equation passes through the point (5, -2), we can use it to solve for b
Substitute 5 as x and -2 as y:
-2=6/5(5)+b
Multiply
-2=6+b
Subtract 6 from both sides
-8=b
Substitute -8 as b.
y=6/5x-8
Hope this helps!