how do you the equation of a line in a coordinate plane?
Hello Tim, if I understand your question right, the equation of a line is:
y = m*x + c
Hope this helps.
Hello! To find the equation of a line in a coordinate plane, there are a few different methods that can be used, depending on the given information.
1. Slope-Intercept Form: This is the form you mentioned, y = mx + c, where m represents the slope of the line and c represents the y-intercept (the point where the line intersects the y-axis). To find the equation using this form, you need to know the slope and the y-intercept.
2. Point-Slope Form: This form is useful if you have the coordinates of a point on the line and the slope. The point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) represents the coordinates of the given point, and m is the slope. This form helps to find the equation of the line directly using a specific point and the slope.
3. Two-Point Form: If you have coordinates of two points on the line, you can use the two-point form to determine the equation. The two-point form is y - y₁ = (y₂ - y₁)/(x₂ - x₁) * (x - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points. This form works well when you have two distinct points on the line.
By using any of these methods, you can find the equation of a line on a coordinate plane. Remember to consider the given information and determine which method is most appropriate for the situation.