The general formula for slope-intercept form is , where represents the slope of the line, and represents the -value of the line’s -intercept. Show
The slope-intercept form of a linear equation makes it easier for us to identify how steep a line is and where it crosses the -axis. ✨ Drag the points on the graph to see how they affect the equation of the line! ✨ When we're given , we first need to find the slope. Then, we can use the slope and one of the given points to solve for the -value of the -intercept and write the equation in slope-intercept form. What is Standard Form?The general formula for the standard form of a linear equation is , where , , and are all integers. We can go from standard form to slope-intercept form by isolating and simplifying: What is Point-Slope Form?The general formula for the point-slope form of a linear equation is , where represents the slope of a line that contains the point (, ). We can go from point-slope form to slope-intercept form by isolating and simplifying: Check out our or explore our and sections to learn more about slope-intercept form and test your understanding. You can also use the Quick Links menu on the left to jump to a section of your choice. You can also use the Quick Links dropdown above to jump to a section of your choice. You can find an equation of a straight line given two points laying on that line. However, there exist different forms for a line equation. Here you can find two calculators for an equation of a line:
Also, the text and formulas below the calculators describe how to find the equation of a line from two points manually. Slope-intercept line equation from two pointsFirst PointSecond pointCalculation precision Digits after the decimal point: 2 Parametric line equation from two pointsFirst PointSecond pointCalculation precision Digits after the decimal point: 2 How to find the equation of a line in slope-intercept formLet's find slope-intercept form of a line equation from the two known points and . Let's subtract the first from the second Note that b can be expressed like this Finally, we use the calculated a and b to write the result as Equation of a vertical lineNote that in the case of a vertical line, the slope and the intercept are undefined because the line runs parallel to the y-axis. The line equation, in this case, becomes Equation of a horizontal lineNote that in the case of a horizontal line, the slope is zero and the intercept is equal to the y-coordinate of points because the line runs parallel to the x-axis. The line equation, in this case, becomes How to find the slope-intercept equation of a line exampleProblem: Find the equation
of a line in the slope-intercept form given points (-1, 1) and (2, 4)
And here is how you should enter this problem into the calculator above: slope-intercept line equation example Parametric line equationsLet's find out parametric form of a line equation from the two known points and . Once we have
direction vector from to , our parametric equations will be Equation of a vertical lineNote that in the case of a vertical line, the horizontal displacement is zero because the line runs parallel to the y-axis. The line equations,
in this case, become Equation of a horizontal lineNote that in the case of a horizontal line, the vertical displacement is zero because the line runs parallel to the x-axis. The line equations, in this case, become How to find the parametric equation of a line exampleProblem: Find the equation of a line in the parametric form given points (-1, 1) and (2, 4)
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:. Substitution method = plug in the slope and the (x, y) point values into y = mx + b, then solve for b. ... . 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.. How do you find the equation of a point given a point?To find points on the line y = mx + b, choose x and solve the equation for y, or. choose y and solve for x.
How do you find the slope of a line with one point?A straight line intercepts the y-axis in a point (0, b). If you choose this point - (0, b), as a point that you want to use in the point-slope form of the equation, you will get: y - b = m * (x - 0) , which is the same as y = m * x + b .
What is the equation of a line calculator?The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
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