What is an equation of the line that passes through the point − 6 − 8 and is parallel to the line X − 2y 6?
Table of Contents
- 1 What is an equation of the line that passes through the point − 6 − 8 and is parallel to the line X − 2y 6?
- 2 What is the equation of the line that passes through the point (- 4 2?
- 3 What is the equation of a line passing through the point (- 2 5 and parallel to Y?
- 4 What is the equation of line passing through two points?
- 5 What is the difference between parallel lines and parallel equations?
- 6 Which equation has the same slope but different y-intercepts?
What is an equation of the line that passes through the point − 6 − 8 and is parallel to the line X − 2y 6?
Solve for y . Add y y and 0 0 . Simplify −12⋅(x+0) – 1 2 ⋅ ( x + 0 ) . Add x x and 0 0 .
How do you find the equation of a line with one point and a perpendicular line?
Correct answer: 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. Rearranged, it is –x/2 + y = 6.
What is the equation of the line that passes through the point (- 4 2?
y = 1/2 x + 4 Final answer! We have the point ( -4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2.
How do you find the equation of a line passing through points?
How to Find the Equation of a Line from Two Points
- Find the slope using the slope formula.
- Use the slope and one of the points to solve for the y-intercept (b).
- Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
What is the equation of a line passing through the point (- 2 5 and parallel to Y?
⇒2x-3y-19=0, which is the required equation.
What is an equation of a line that 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. If you know two points that a line passes through, this page will show you how to find the equation of the line.
What is the equation of line passing through two points?
Since we know two points on the line, we use the two-point form to find its equation. The final equation is in the slope-intercept form, y = mx + b.
Is there a second line that passes through the point?
There is a second line that passes through the point and is parallel to the line given above. What is the equation of this second line? Parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope-intercept form.
What is the difference between parallel lines and parallel equations?
When the equations of two lines are the same they have infinitely many points in common, whereas parallel lines have no points in common. where is the slope. In this particular situation .
How do you find the y intercept of a parallel line?
For parallel lines, the slopes must be equal, so the slope of the new line must also be . We can plug the new slope and the given point into the slope-intercept form to solve for the y-intercept of the new line. Use the y-intercept in the slope-intercept equation to find the final answer. What line is parallel to at?
Which equation has the same slope but different y-intercepts?
Parallel lines have the same slope but different y-intercepts. When the equations of two lines are the same they have infinitely many points in common, whereas parallel lines have no points in common. where is the slope. In this particular situation . Therefore we want to find an equation that has the same value and a different value.