What is the equation of the line that passes through 3 2 and is parallel to line M?

Parallel lines have the same slope (that is, the ‘m’ in y=mx+b). The equation of the line is: y = 3x + b and we use point (3,2) on the line to determine b.

How do you write an equation given a point and a perpendicular 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. Rearranged, it is –x/2 + y = 6.

How do you write an equation of a line that is perpendicular to the Y axis?

Explanation: A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

How do you write an equation of a line parallel to the x-axis?

The equation of the line parallel to the x-axis is y = k, where ‘k’ is any real number. For example, considering the equation of a line, y = 2, for any value of ‘x’ the value of ‘y’ is always equal to 2.

How do you write an equation of a line passing through?

How do you write an equation of a line passing through (3, 2), perpendicular to y = 5x + 2? Find the negative reciprocal of the slope and, using our point, write the equation in slope-intercept form. The negative reciprocal of the slope of a line is the slope of the line perpendicular to it. If our original slope is 5, then our new slope is − 1 5.

How to find the equation of a perpendicular line with two points?

Before you calculate the equation of the perpendicular line, you will need to find the slope of the line that crosses the two points. The equation for finding the slope of a line with two points is m = y 2 − y 1 x 2 − x 1 {\\displaystyle m={\\frac {{y^{2}}-{y^{1}}}{{x^{2}}-{x^{1}}}}} .

What is the slope of the line perpendicular to the line?

When a line is perpendicular to another line, the slope will be the negative opposite of the original line. This is called the opposite reciprocal. The lines cross each other at a right angle, so the slopes must be opposite. Two perpendicular slopes multiplied together will always equal . represents the slope of the line. .

How do you find the equation of a line with one point?

The first way is to solve for the equation of a line with one point and the equation of a line that runs perpendicular to it. The second way is to use two points from one line and one point from a perpendicular line. If a line runs perpendicular to another line, it means that it crosses it at a right angle.