To write the equation, we need two things: Example 2 Find the equation in point-slope form for the line shown in this graph: Putting it all together, our point is -1,0 and our slope is 2.
Try working it out on your own. As you can see, point-slope form is nothing too complicated. You could have used any triangle to figure out the slope and you would still get the same answer.
And of course, if you need more help, feel free to ask the volunteers on our math help message board. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler.
Example 1 You are given the point 4,3 and a slope of 2. You have a starting point on a map, and you are given a direction to head.
Note also that it is useful to pick a point on the axis, because one of the values will be zero. The variable m is the slope of the line. The standard point slope formula looks like this: In this case it denotes a specific y value which you will plug into the equation.
Just plug the given values into your point-slope formula above. Finding the slope requires a little calculation, but it is also pretty easy. Your slope was given to you, so where you see m, use 2.
In the example above, we took a given point and slope and made an equation. You have all the information you need to draw a single line on the map. Therefore the slope of this line is 2.
Point-slope form is all about having a single point and a direction slope and converting that between an algebraic equation and a graph. We know how to use the point-slope form, so the final answer is: Using the Point-Slope Form of a Line Another way to express the equation of a straight line Point-slope refers to a method for graphing a linear equation on an x-y axis.
Your point is -1,5. Think about it this way:Find the Equation of a Line Parallel or Perpendicular to Another Line – Notes Page 4 of 4 Example 5: Find the equation of a line passing through the point (6, 3) perpendicular to the line 4x – 5y = – Ashley, parallel lines have the same slope.
If the intercept is (0,5), then the equation is y=2x+5. When given the intercept, just plug in the y value in for b in the equation y=mx+b.
Straight-Line Equations: Point-Slope Form. Slope-Intercept Form Point-Slope Form Parallel, Perpendicular Lines. You can use the Mathway widget below to practice finding a line equation using the point-slope formula.
Try the entered exercise, or type in your own exercise. Then click "Answer" to compare your answer to Mathway's. How do you write the equation in point slope form given (-1,4) parallel to y=-5x+2? Algebra Forms of Linear Equations Equations of Parallel Lines 2 Answers. Nope, this is serious stuff; it’s about finding the slope of a line, finding the equation of a line Read More High School Math Solutions – Perpendicular & Parallel Lines Calculator.
Jul 17, · Thus given the equation of a line and a point through which the line parallel to the given line passes, then the slope of the second line is equal to the slope .Download