Table of Contents

## How do you find the equation of a parallel line passing through the origin?

1 Answer

- The equation in the problem is in Standard Form for a Linear Equation.
- The slope of an equation in standard form is: m=−AB.
- Therefore, 1x+1y=10 has slope:
- m=−11=−1.
- We know the y intercept is 0 because the line passes through the origin therefore when x=0 , y=0.

## What is the slope of any line perpendicular to 5x 3y 8?

Using the slope-intercept form, the slope is −53 . The equation of a perpendicular line to y=−5×3+83 y = – 5 x 3 + 8 3 must have a slope that is the negative reciprocal of the original slope.

**What is the equation of the line that passes through 2 3 and is parallel to 2x 3y 6?**

The equation of the line that passes through (-2, 3) and is parallel to 2x + 3y = 6 is 2x + 3y – 5 = 0.

**What is the slope of the line perpendicular to 5x 8?**

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 5 5 .

### What is the equation of a line passing through the origin?

A line with equation y = mx + c has gradient m and y -intercept c. The gradient of a straight line is the coefficient of x. If a straight line passes through the origin, then its y -intercept is 0. So, the equation of a straight line passing through the origin is where m is the gradient of the line.

### What is the gradient of a straight line passing through origin?

The gradient of a straight line is the coefficient of x. Particular Case If a straight line passes through the origin, then its y-intercept is 0. So, the equation of a straight line passing through the origin is

**What is the y-intercept of a line passing through the origin?**

If a straight line passes through the origin, then its y-intercept is 0. So, the equation of a straight line passing through the origin

**How do you find the equation of a straight line?**

The equation of a straight line when a straight line passes through origin with some slope can be written in algebraic form from the mathematical relation of slope of line with coordinates of any point on that straight line. It is similar to the slope intercept form of a straight line.