How To Find The Equation Of A Line?

To find an equation of a line given the slope and a point.

  1. Identify the slope.
  2. Identify the point.
  3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .
  4. Write the equation in slope-intercept form.

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How do you find the equation of a line given two points?

The straight line through two points will have an equation in the form y = m x + c . We can find the value of , the gradient of the line, by forming a right-angled triangle using the coordinates of the two points.

How do you find the equation of a line given the slope and a point?

These are the two methods to finding the equation of a line when given a point and the slope:

  1. Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b.
  2. Point-slope form = y − y 1 = m ( x − x 1 ) , where ( x 1 , y 1 ) is the point given and m is the slope given.

What is meant by equation of a line?

The equation of a line is any equation that conveys information about a line’s slope and at least one point that lies on it. While slope alone is not enough information to uniquely identify a line, the equation of a line is. Knowing these equations makes it easy to plot and compare two or more lines to each other.

How do you find the equation of a line with 3 points?

Let first point be (x1, y1) and second point be (x2, y2). Now, you can get the n by plugging the number k, as well as x and y coordinates of one of the points into the equation y = kx + n. Let’s say you choose to plug coordinates of the point number one. Now you know n and voilà, that’s your equation.

What is the equation of a line with no slope?

A zero slope line is a straight, perfectly flat line running along the horizontal axis of a Cartesian plane. The equation for a zero slope line is one where the X value may vary but the Y value will always be constant. An equation for a zero slope line will be y = b, where the line’s slope is 0 (m = 0).

How do you find the equation of a line without y-intercept?

If the line does not have a whole number y-intercept, use the point-slope form of a line y-y1=m(x-x1) to find the equation of the line. Plug in the slope and one coordinate point from the line and solve for y.

Which answer is the equation of the line?

These lines are written in the form y = mx + b, where m is the slope and b is the y-intercept.

What is the equation of a line with a y-intercept of − 5 and a slope of 8?

2 Answers. y=5x−8 is the equation of the line.

How do you write an equation of the line with a slope of 2 and y-intercept of 9?

Explanation:

  1. y=mx+c.
  2. where. m=slope/gradient ;c=y intercept.
  3. slope =2.
  4. ⇒y=2x+c.
  5. to find c substitute the known coordinates in.
  6. 9=2×0+c.
  7. 9=0+c.
  8. ∴c=9.

What is the equation of the line that passes through the point (- 4 2 and has a slope of?

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.

What is the equation of a line with a point (- 3 0 and no slope?

The equation of a line, in general form, with a point (-3, 0) and an undefined slope is x + 3 = 0.