How do you graph a line given the slope and y-intercept?

Graphing a Line Using the Slope and Y-Intercept

  1. Find the y-intercept = b of the equation y = mx + b.
  2. Plot the y-intercept. The point will be (0, b).
  3. Find the slope=m of the equation y = mx + b.
  4. Make a single step, using the rise and run from the slope.
  5. Connect those two points with your line.

How do you find the equation of a line given the slope and y-intercept of the line given the slope and a point on the line given two points on the line?

Steps to find the equation of a line from two points:

  1. Find the slope using the slope formula.
  2. Use the slope and one of the points to solve for the y-intercept (b).
  3. 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.

How do you find the equation of a line that passes through the y-intercept and the given point?

We know that,

  1. The equation of line is y=mx+c, where m is the slope and c is the y intercept.
  2. y=mx−3.
  3. −5=m(2)−3.
  4. −5=2m−3.
  5. 2m=3−5=−2.
  6. ⇒m=−1.
  7. Hence, the equation of the line is y=−x+(−3)⇒x+y+3=0.

What is the formula for slope and y-intercept?

y = mx + b
The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point. Example 2: Find the equation of the line that has a slope of 2/3 and a y intercept of (0, 4).

How do you graph a line with a slope and a point?

To graph an equation in point slope form, the first step is to extract the known point and slope from the equation. The equation is: y−y1=m(x−x1) The slope will be m and the known point will be the coordinate (x1,y1). Once you have the point, plot it, and use the slope to find which way the line extends.

How do we write the equation of a line given a point and a slope?

These are the two methods to finding the equation of a line when given a point and the slope: Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b. Use the m given in the problem, and the b that was just solved for, to create the equation y = mx + b.

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

What is the formula in finding the equation of the line given a slope and a point?

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

How do you find the equation of a line with one 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.