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.

Which is the equation of a line that is parallel to the line with equation y 2x 5?

2 Answers By Expert Tutors The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x – 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2.

What is an equation of the line that is parallel to y 3x 5?

The parallel line to y=3x-5 that passes through (3,2) is y=3x+7.

What is the equation in point slope form of the line that is perpendicular to the given line?

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. Thus, the equation of the line is y = ½x + 6.

How do you find parallel lines?

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 whose y-intercept is 3 and slope is 1?

y = x + 3
Summary: The equation of the line whose y-intercept is 3 and slope is 1 is y = x + 3.

How do you know when two lines are parallel in math?

How do we know when two lines are parallel? Their slopes are the same! The slope is the value m in the equation of a line: y = mx + b

How do you find an equation that is parallel?

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point – slope formula.

How do I find the slope and y-intercept of a linear equation?

Enter the linear equation you want to find the slope and y-intercept for into the editor. The slope and y-intercept calculator takes a linear equation and allows you to calculate the slope and y-intercept for the equation. The equation can be in any form as long as its linear and and you can find the slope and y-intercept.

How do you solve a parallel line with a slope of 2?

The parallel line needs to have the same slope of 2. We can solve it using the “point-slope” equation of a line: y − y1 = 2(x − x1) And then put in the point (5,4): y − 4 = 2(x − 5) And that answer is OK, but let’s also put it in y = mx + b form: y − 4 = 2x − 10.