## How do you find the equation of a line that passes through a point and is parallel to another line?

Step 1: Find the slope of the line. To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 3x – 5y = 9 is m = 3/5. Therefore, the slope of the line parallel to this line would have to be m = 3/5.

## What is the equation in point slope form of the line that is parallel to the given line and passes through the point (- 3 1?

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−3, 1)? y – 1=Negative three-halves(x + 3)

## Which equation represents the line that is parallel to 3x 4y 7?

Answer Expert Verified y = 3/4x – 7/4..the slope here is 3/4. A parallel line will have the same slope.

## How do you determine if two lines are parallel?

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

## How do you write an equation that passes through a point?

Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

## What is the equation for slope intercept form?

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

## How do you find a perpendicular line that passes through a point?

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

## What is the equation of the line that is parallel to the line 5x 2y 12?

The equation 5x – 2y = -12 is in standard form Ax + By = C where A = 5, B = -2 and C = -12. The slope of a line in Standard form is m = -A / B therefore the slope is -5 / -2 or 5/2. y – 3 = (5/2) (x – 2) or y – 3 = (5/2) (x + 2). You might be expected to write the equation in Slope-Intercept form or Standard form.

## What is the equation of the line that is perpendicular to the given line and passes through the point 3 4?

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 4)? y = –1/3x + 5. y = –1/3x + 3.

## What is the equation of the line that is parallel to the given line and passes through the point 2 2?

What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)? y = x + 4.

## What is the Y intercept in an equation?

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis. © 2000-2005 Math.com. All rights reserved.

## How do you find the x intercepts?

Finding x-intercepts and y-interceptsTo determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. To find the x-intercept, set y = 0 displaystyle y=0 y=0.To find the y-intercept, set x = 0 displaystyle x=0 x=0.

### Releated

#### How to write a regression equation

What is a regression equation example? A regression equation is used in stats to find out what relationship, if any, exists between sets of data. For example, if you measure a child’s height every year you might find that they grow about 3 inches a year. That trend (growing three inches a year) can be […]

#### Solving an absolute value equation

How do you find the absolute value? Absolute Value means and “−6” is also 6 away from zero. More Examples: The absolute value of −9 is 9. The absolute value of 3 is 3. Can you solve problems using absolute value? Solving absolute value equations is as easy as working with regular linear equations. The […]