If you mean y = 2x+3 and y = -1/2x+4 then the two lines are perpendicular to each other meeting at right angles.
It works out as: y = 2x+1
Points: (4, -2) and (6, -3) Slope: -1/2 Straight line equation: y = -1/2x There is no y intercept.
5
It is 2√5 ≈ 4.47 units.To solve this:Find the equation of the line perpendicular to y = 2x + 10 that passes through the point (2, 4);Find the point where this line meets y = 2x + 10Find the distance from this point to (2, 4) using PythagorasThe slope of the perpendicular line (m') to a line with slope m is such that mm' = -1, ie m' = -1/mFor y = 2x + 10, the perpendicular line has slope -1/2, and so the line that passes through (2, 4) with this slope is given by:y - 4 = -½(x - 2)→ 2y - 8 = -x + 2→ 2y + x = 10To find where this meets the line y = 2x + 10, substitute for y in the equation of the perpendicular line and solve for x:y = 2x + 102y + x = 10→ 2(2x + 10) + x = 10→ 4x + 20 + x = 10→ 5x = -10→ x = -2Now use one of the equations to solve for y:y = 2x + 10→ y = 2(-2) + 10→ y = -4 + 10 = 6This the perpendicular line from (2, 4) meets the line y = 2x + 10 at the point (-2, 6)The distance between these two points is given by:distance = √((-2 - 2)² + (6 - 4)²) = √(16 + 4) = √20 = 2√5 ≈ 4.47 units
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.
All points whose y-coordinate is twice its x-coordinate.
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.
-1
I think you are asking for a simplifaction of 2x-3y-2y-4x=24 If so, combine like terms and we have -2x-5y=24. This is an equation of a line and there are infinite solutions. The solutions are all the points on the line.
There are infinitely many answers and they comprise the coordinates of all points on the line that satisfy the equation.
By the geometric definition of a line, it is represented by two points, and all points on the line are collinear, between or extrapolating to infinity from the straight line made by the two points. In other words, a line is straight, and can be represented by a binomial function (example: y=2x+1). A parabola is a function, but cannot be described mathematically as a line.
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.
2x+438395 NUT
2x + 7y
y=2x-3 defines a line, a set of points all in a line. You could have x=0 y=-3, or x=1 y=-1, or x=100 y=197 and they all lie on the same line with a slope of 2 when put on to graph paper.
Simply substitute any value for y, solve for x for points along the line Y = 2X + 1