The general form of the line is:
y = mx + c where:
m is the slope
c is the y-intercept
Now, we are given that the slope = 1/2.
The equation now became:
y = (1/2) x + c
Now, we need to get the y-intercept. We are given that (-4 ,1) belongs to the line. Therefore, this point satisfies the equation of the line. Based on this, we will substitute with this point in the equation above and solve for c as follows:
y = (1/2) x + c
1 = (1/2)(-4) + c
1 = -2 + c
c = 1+2
c = 3
Based on the above, the equation of the line is:
y = (1/2) x + 3
No solution is 3x + 4
One solution is 2x + 4
Infinitely many solution is 3x + 5
Step-by-step explanation:
Answer:
The greatest Common factor of 52/65 is 13!
Step-by-step explanation:
Hope this helps :)
Pls make brainliest :p
And have an amazing day <3
Answer:
Step-by-step explanation:
si que
Answer: The simplified form of above expression is ![\frac{7}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B30%7D)
Step-by-step explanation:
Since we have given that
![\frac{9}{10}-\frac{2}{3}\\](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B10%7D-%5Cfrac%7B2%7D%7B3%7D%5C%5C)
We need to solve the above expression to get the simplified answer:
1) Take the L.C.M. of 10 and 3.
L.C.M. of 10 and 3 = 30
2) Make the denominator 30 for each of the fraction .
![\frac{9}{10}\times \frac{3}{3}=\frac{27}{30}\\\\and\\\\\frac{2}{3}\times \frac{10}{10}=\frac{20}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B10%7D%5Ctimes%20%5Cfrac%7B3%7D%7B3%7D%3D%5Cfrac%7B27%7D%7B30%7D%5C%5C%5C%5Cand%5C%5C%5C%5C%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cfrac%7B10%7D%7B10%7D%3D%5Cfrac%7B20%7D%7B30%7D)
3) Take the difference between them:
![\frac{27}{30}-\frac{20}{30}\\\\=\frac{7}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B27%7D%7B30%7D-%5Cfrac%7B20%7D%7B30%7D%5C%5C%5C%5C%3D%5Cfrac%7B7%7D%7B30%7D)
Hence, the simplified form of above expression is ![\frac{7}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B7%7D%7B30%7D)