How do you find an equation for the line whose graph is sketched?
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How do you find an equation for the line whose graph is sketched?
To find the equation of a graphed line, find the y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. Slope is the change in y over the change in x. Find two points on the line and draw a slope triangle connecting the two points.
How did you determine if the ordered pair satisfy the given inequality?
Note: To see if an ordered pair is a solution to an inequality, plug it into the inequality and simplify. If you get a true statement, then the ordered pair is a solution to the inequality. If you get a false statement, then the ordered pair is not a solution.
How do you find the equation of a line that passes through two points?
Steps to find the equation of a line from two points:
- Find the slope using the slope formula.
- Use the slope and one of the points to solve for the y-intercept (b).
- Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
What does it mean when a function satisfies another?
Definition: differential equation. A differential equation is an equation involving an unknown function y=f(x) and one or more of its derivatives. A solution to a differential equation is a function y=f(x) that satisfies the differential equation when f and its derivatives are substituted into the equation.
Which of the ordered pairs satisfy the equation?
We say that the ordered pair (1, 2) is a solution of the equation y=x+1. If substituting the ordered pair (x, y)=(a, b) into an equation (replace x with a and y with b) produces a true statement, then the ordered pair (a, b) is called a solution of the equation and is said to “satisfy the equation.”
What is R in vector equation?
In the above equation r is a position vector of any point P(x, y, z) on the line, then r = x. + y. + z. The position vector of any point on the line is taken as a + λ b. This form of the equation is called the vector form.
