The general equation for a straight line is: y=mx+c
m being the gradient (slope), and c being the y intercept (which isn't important in this question)
So firstly, we substitute the slope into the rule which gives us:
y=2x+c
Then we substitute in the point (4,1), 4 being the x-value and 1 being the y-value. This means that when x=4, y=1, so if we put this into our equation:
(4,1) => 1=2x4+c
1=8+c
Now subtract 8 from both sides
-7 = c
Finally, substitute your m and c into the rule and you get your straight line equation:
y=2x-7
Line k: (4, 2), (-4, 4)slope mk = (4 - 2)/(-4 - 4) = 2/-8 = - 1/4Line h: (-8, 1), (8, -3)slope mh = (-3 - 1)/(8 - -8) = -4/16 = - 1/4Since both lines have equal slopes, - 1/4, the lines are parallel.
1 tenth, 4 tenths, 6 tenths, 7 tenths
Depending upon the particular context, you might write 1019, or you could put in a comma and write 1,019. It will mean the same, either way.
5,000,620 (the first comma FROM THE RIGHT says "thousand", but here there are no thousands, so we don't say anything. The second comma FROM THE RIGHT says "million").
1,010 [The comma is a thousand separator, which is optional. It makes it easier to read.]
We know that the line passes through points (2, 2) and (0, 10) (since the y-intercept is 10).Using these two points, we can find the slope of the line,m = (10 - 2)/(0 - 2) = 8/-2 = 4/-1 = -4.Now by using the slope, m = -4, and the y-intercept, 10, we can write the equation of the line in the slope-intercept form, y = mx + b which isy = -4x + 10.
Not necessarily. There is no word in English that requires a comma after it or before it.
Equation of a line through point (x0, y0) with gradient m is given by: y - y0 = m(x - x0) the gradient m between two points (x0, y0) and (x1, y1) is given by: m = change_in_y/change_in_x = (y1 - y0)/(x1 - x0) → equation of line through (9, 0) and (5, 3) is: y - 0 = ((3 - 0)/5 - 9)) (x - 9) → y = (3/-4) (x - 9) → 4y = -3x + 27 → equation of line through (0, 0) and (0.5, 3) is: y - 0 = ((3 - 0)/(0.5 - 0)) (x - 0) → y = (3/0.5)x → y = 6x This gives two simultaneous equations which when solved give the point where the two lines intersect: y = 6x → 4y = 24x → 24x = -3x + 27 → 27x = 27 → x = 1 → y = 6 × 1 = 1 → point of intersection is (1, 6)
5 comma 300 comma 000 comma 000 comma 000 comma 000.
It is almost always a comma, but rarely I have seen a colon. When you are writing a formal letter, it is a comma, but if you were to write a informal letter to a friend, it doesn't really matter. For all of the letters I write I use a comma, and so does everybody else I know.
No, a comma is not necessary when writing "thanks a lot." You can simply write "Thanks a lot" without a comma.
Not usually : "Thank you for listening to me" does not need a comma. However, if you write their name afterward ("Thanks, Fred."), you need a comma after thank you.
The point of a comma is to establish the meaning of an "and or but or any of these conjectives". So there is no need to use and after a comma, as its not proper grammer.e.g. ,and / ,but / ,therefor Hope this helps,
with a comma or a semicolon
Line k: (4, 2), (-4, 4)slope mk = (4 - 2)/(-4 - 4) = 2/-8 = - 1/4Line h: (-8, 1), (8, -3)slope mh = (-3 - 1)/(8 - -8) = -4/16 = - 1/4Since both lines have equal slopes, - 1/4, the lines are parallel.
No. You could write "1 January" or "1st of January".
Yes; some people also chose to use a semi-colon (;) instead of the comma (,).