-1
(4,2), (2,1),(-2,-1)
5
Perpendicular would mean that the slope of both lines have to be the same. The slope of the given line is 2, so the equation of the other line is of the form y=2x+c with c some constant. Since it is given that the intercept of the second line is -2, we know that -2 = 0.x + c which gives us c = -2 Using this, we can see that the equation of the perpendicular line is y=2x-2
y = 2/3x+4 or in the general form of sraight line equation as 2x-3y+12 = 0
. the equation of a straight line can be found by using two points on a line . First find the gradient of the line using the gradient formula . now substitute the gradient into general form replacing "m" . use one of the points and substitute into equation to solve "c" example 1: find the equation of the line which passes through the points (1,3) and (2,5). step 1: find the gradient M=5-3/2-1=2 (/=divide) step 2: place m into the equation Y=2x+c step 3: substitute point into equation 3=2(1)+c step 4: solve C=1 equation is Y=2x+1 hope that helps :)
(4,2), (2,1),(-2,-1)
All points whose y-coordinate is twice its x-coordinate.
5
Points: (1, 5) and (2, 7) Slope: 2 Equation: y = 2x+3
As Anand said, the question is vague. However, two important points for any equation are the x and y intercepts. For y = 2x, the x-intercept is (0,0) and the y-intercept is (0,0). Not sure if that helps.
There are infinitely many solutions. These are coordinates of all points on the line given by the equation 2 - y = 2x - 1 or 2x + y = 3.
This is an equation of a line. There are an infinite number of solutions which are all points on the line. It is a linear equation.
To determine which points are on the line given by the equation ( y = 2x ), you can substitute the x-coordinate of each point into the equation and see if the resulting y-coordinate matches the point's y-coordinate. For example, if you have the point (1, 2), substituting ( x = 1 ) gives ( y = 2(1) = 2 ), so this point is on the line. Repeat this process for each point to find which ones satisfy the equation.
If you mean: y = 2x +6 then the slope of the line is 2
Suppose the equation of the line is y = mx + c where m and c need to be determined. The slope of the line = (difference in y-coordinates of the two given points)/(difference in x-coordinates of the two given points) = (-6 - 2)/(0 - 4) = -8/-4 = 2 So m = 2 ie the equation of the line becomes: y = 2x + c where c still needs to be determined. The point (0, -6) is on the line. That is, when x = 0, y = -6. Substituting in the equation, -6 = 2*0 + c so that c = -6 and the equation of the line is y = 2x - 6
y - 2x is not an equation. If that is supposed to be y = 2x then the slope is 2. Or, written as a slope, would be 2/1
The equation ( y = 2x ) represents a straight line where the y-coordinate is twice the x-coordinate. To determine points that lie on this line, you can substitute the x-values into the equation and check if the resulting y-values match. For example, points like (1, 2), (2, 4), and (0, 0) all satisfy the equation and lie on the line.