How do you write an equation of a line that passes through the origin?

In general, therefore, the equation y = mx represents a straight line passing through the origin with gradient m. The equation of a straight line with gradient m passing through the origin is given by y = mx . Consider the straight line with equation y = 2x + 1.

What is the slope of a 45 degree angle?

1
The line that forms a 45 degree angle has a slope that is exactly 1.

What is the equation of the line that passes through the origin and is perpendicular?

If the line passes through the origin, then you know that (0,0) is on the line. If the line is perpendicular to y=2x+3 then we know the line has slope m=−0.5. This is the negative reciprocal of the slope. The solution can be obtained by solving y=−0.5x+b using the information given.

What is the equation of a 45 degree line?

AE = Y
The equation for the 45-degree line is the set of points where GDP or national income on the horizontal axis is equal to aggregate expenditure on the vertical axis. Thus, the equation for the 45-degree line is: AE = Y.

Which is an equation of the line through the origin and (- 5 6?

1 Expert Answer Therefore, Y=(5/6)X, through the origin, where the y-intercept is b= 0. Answer: 5X – 6Y = 0 where A=5, B = -6, and C = 0 in the Standard Form of the Straight Line (linear equation in two unknowns (X,Y). Questions?

What equation passes through the origin?

If by “origin,” you refer to coordinate point 0,0 then any equation in the above form where both A and C are equal to 0 will pass through the origin. Simplifying, any equation where B is a real number and both A and C are equal to 0 will work.

What is the length of the perpendicular from the origin?

The length of the perpendicular from the origin to a line is 7 and the line make an angle of 150° with positive direction of Y-axis. Then the equation is the line is? Originally Answered: The length of the perpendicular from the origin to a line is 7 and the line make an angle of 150° with positive direction of Y-axis.

How do you find the origin of a coordinate system?

(r,θ+2πn) (−r,θ+(2n +1)π), where n is any integer. ( r, θ + 2 π n) ( − r, θ + ( 2 n + 1) π), where n is any integer. Next, we should talk about the origin of the coordinate system. In polar coordinates the origin is often called the pole. Because we aren’t actually moving away from the origin/pole we know that r = 0 r = 0.

How do you convert equations from one coordinate system to another?

We can also use the above formulas to convert equations from one coordinate system to the other. Example 2 Convert each of the following into an equation in the given coordinate system. Convert 2x −5×3 = 1+xy 2 x − 5 x 3 = 1 + x y into polar coordinates. θ into Cartesian coordinates.