How do you find the y-intercept when given two points?
How do you find the y-intercept when given two points?
Steps
- Calculate the slope from 2 points. For Example, Two points are (3, 5) and (6, 11)
- Substitute the slope(m) in the slope-intercept form of the equation.
- Substitute either point into the equation. You can use either (3,5) or(6,11).
- Solve for b, which is the y-intercept of the line.
- Substitute b, into the equation.
What is the equation for y-intercept?
y-Intercept in The Slope-Intercept Form The equation of the line in the slope-intercept form is, y=mx+b. By the definition of the slope-intercept form itself, b is the y-intercept of the line. You try by substituting x=0 in y=mx+b and see whether you get b as the y-intercept.
How do I find slope and y-intercept?
The slope-intercept form of a line is: y=mx+b where m is the slope and b is the y-intercept. The y-intercept is always where the line intersects the y-axis, and will always appear as (0,b) in coordinate form.
What is the formula for finding y intercept?
The y-intercept is the point at which a linear equation crosses the y-axis on the x=0 plot point. The equation to determine both the slope and the y-intercept of a line is y=mx+b.
What are the X and y intercepts of the line?
X and Y intercepts are part of the basis for solving and graphing liner equations. The X-intercept is the point at which the equations line will cross the X axis, and the Y intercept is the point at which the line crosses the Y axis. Finding both of these points will allow you to locate any point on the line.
How do you find the y intercept in an ordered pair?
To find the y-intercept, substitute the slope in for m in the formula y = mx + b, and substitute a given ordered pair in the table for x and y in the formula, then solve for b. Finally, substitute the values for m and b into the formula y = mx + b to write the equation of the line. We help you determine the exact lessons you need.
How do you calculate slope and y intercept?
In general, the slope intercept form assumes the formula: y = mx + b. b is the y -intercept ( lesson on the y-intercept ) mnemonic : ‘b’ means where the line begins. Examples. y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3.