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How do you find the y-intercept of an equation?

How do you find the y-intercept of an equation?

Using the “slope-intercept” form of the line’s equation (y = mx + b), you solve for b (which is the y-intercept you’re looking for). Substitute the known slope for m, and substitute the known point’s coordinates for x and y, respectively, in the slope-intercept equation. That will let you find b.

How do you solve slope-intercept?

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

How do you find the y-intercept with two points and slope?

Steps

  1. Calculate the slope from 2 points. For Example, Two points are (3, 5) and (6, 11)
  2. Substitute the slope(m) in the slope-intercept form of the equation.
  3. Substitute either point into the equation. You can use either (3,5) or(6,11).
  4. Solve for b, which is the y-intercept of the line.
  5. Substitute b, into the equation.

How do you write slope-intercept form with one point and slope?

Explanation: If a straight line passes through (x1,y1) and has a slope m , then its equation can be written as y−y1=m(x−x1) . →y=−3x+3 which is of the form y=mx+c (slope intercept form.

How do you find the slope-intercept form given the slope and a point?

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.

How do you calculate slope and y intercept?

In general, the slope intercept form assumes the formula: y = mx + b. m is the slope (lesson on slope ) mnemonic : ‘m’ means ‘move’. b is the y -intercept ( lesson on the y-intercept ) mnemonic : ‘b’ means where the line begins.

How do you write an equation in slope intercept form?

Writing linear equations using the slope-intercept form. An equation in the slope-intercept form is written as. y=mx+b. Where m is the slope of the line and b is the y-intercept. You can use this equation to write an equation if you know the slope and the y-intercept.

How do you calculate X and y intercept?

To find the x-intercept of a given linear equation, plug in 0 for ‘y’ and solve for ‘x’. To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’. In this tutorial, you’ll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out!

How to find a slope intercept?

– Method 1 Method 1 of 4: Using a Graph to Find the Slope. Pick two points on the line. – Method 2 Method 2 of 4: Using Two Given Points to Find the Slope. – Method 3 Method 3 of 4: Finding the y-intercept, Given the Slope and One Point. – Method 4 Method 4 of 4: Finding the x-intercept, Given the Slope and Y-intercept.