What is the equation of a line passing through 2 1 and parallel to the line?

Parallel lines have the same slope, so the line passing through (2,-1) has a slope of 2. It’s equation so far is y = 2x + b.

What is the equation of the line parallel to the line 2x 3y 12?

To find an equation that is parallel to 2x+3y=12 2 x + 3 y = 12 , the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula. Using the point-slope form y−y1=m(x−x1) y – y 1 = m ( x – x 1 ) , plug in m=−23 m = – 2 3 , x1=0 x 1 = 0 , and y1=0 y 1 = 0 . Solve for y .

What is the slope of a line that is parallel to 2x 3y 5?

Reorder −53 – 5 3 and 2×3 2 x 3 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 23 .

How do you find a parallel line?

Parallel lines. 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.

What is the equation of the line that passes through the point (- 2 1 and has a slope of?

The point-slope equation of the line that passes through the point (2,1) and has the slope 5 , is y−1=5(x−2) .

What is the slope of a line that is parallel to 2x 3y 12?

Using the slope-intercept form, the slope is −23 . All lines that are parallel to y=−2×3+4 y = – 2 x 3 + 4 have the same slope of −23 .

What will be the slope of the line perpendicular to the line given by 2x − 3y 5 0?

Using the slope-intercept form, the slope is 23 .

What equation is parallel to Y =- 2x 4?

The equation y = 2x + 4 has a slope of 2 and a y-intercept of 4. The line parallel to this has an equation in the form y = 2x + b where b is not equal to 4.

What is the equation of a straight line parallel to the line?

We find the equation of the required line using the slope point form, which is given by: y – y 1 = m (x – x 1) ⇒ y – 2 = 2 3 (x – 1) ⇒ 3 y – 6 = 2 x – 2 ⇒ 2 x – 3 y + 4 = 0 This is the equation of a straight line parallel to the line 2 x – 3 y + 5 = 0.

How do you find another equation that is parallel to this equation?

To find another equation that is parallel to this equation, you have to use that slope because parallel lines have the same slope. To find the equation using the given slope and given set of points, plug the numbers into point slope form: y − y1 = m(x − x1) Where (2, − 1) = (x1,y1)

How do you find the slope of a parallel line?

The slope-intercept form is y = m x + 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 2 2. To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point – slope formula.