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To find the linear equation you need to know the slope and the y-intercept of the line. To find the slope use the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line. The y-intercept is the point at which x=0.

A linear equation is an equation for a straight line. Let us look more closely at one example: The graph of y = 2x+1 is a straight line. ... y = 3x − 6 : y − 2 = 3(x + 1) y + 2x − 2 = 0 : 5x = 6 : ... Examples: These are NOT linear equations: y 2 − 2 = 0 : 3√x − y = 6 : x 3 /2 = 16: Slope-Intercept Form. The most common form is the ...

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

Can 2 linear functions have the same y-intercept? Yes. y= 3x+4 and y= -5x+4 have same y-intercept.

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To graph the linear equation y = 3 x − 2 on the coordinate plane, you can follow these steps:. Identify the equation format: This equation is in the slope-intercept form, which is given as y = m x + b, where m is the slope and b is the y-intercept. In your equation, m = 3 and b = − 2. Plot the y-intercept: The y-intercept occurs where the line crosses the y-axis, which is when x = 0.

The function rule @$\begin{align*}y = 3x - 2\end{align*}@$ is a linear function. It describes a straight line with a slope of 3 and a y-intercept of -2. Analogy / Example. Related questions: Complete the table. f(p) = p^2 − 2p. p f(p): ...

y=3x^2. Relation, yes, y is related to x, Function, yes, for every value of x, only one value of y.(obeys vertical line rule) ... Linear Function A first-degree polynomial function of one variable. Since you have an it is not a first degree polynomial. It is a second degree polynomial.

y + 3x - 1 = 0: Linear: y 2 - x = 9: Non-Linear, the power of the variable y is 2: Linear Equation Formula. The linear equation formula is the way of expressing a linear equation. This can be done in different ways. For example, a linear equation can be expressed in the standard form, the slope-intercept form, or the point-slope form.

Graph y=3x+2. Step 1. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Step 1.1. The slope-intercept form is , where is the slope and is the y-intercept. Step 1.2. Find the values of and using the form . Step 1.3. The slope of the line is the value of , and the y-intercept is the value of .

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Linear Algebra. Matrices Vectors. Trigonometry. Quadrant Coterminal Angle Identities Proving Identities Trig Equations Trig Inequalities Evaluate Functions Simplify. Statistics. ... graph Y=3X-2. en. Related Symbolab blog posts. Practice Makes Perfect. Learning math takes practice, lots of practice. Just like running, it takes practice and ...

For example, f(x) = 3x - 2 has a slope of 3 and a y-intercept of -2. Linear Function Equation. The simplest linear function is f(x) = x, which represents a straight line passing through the origin. In general, a linear function equation is written as f(x) = mx + b, where 'm' is the slope and 'b' is the y-intercept. Here is an example of linear ...

Example 2 . Solve 2y - 3x = 4 explicitly for y in terms of x and obtain solutions for x = 0, x = 1, and x = 2. Solution First, adding 3x to each member we get. ... 0x + y = 2 . and can be considered a linear equation in two variables where the coefficient of x is 0. Some solutions of 0x + y = 2 are (1,2), (-1,2), and (4,2)

Add 2 on both sides: y – 2 + 2 = 3x − 3 + 2; y = 3x – 1; Graph: Start by plotting the y-intercept (0, -1) on the y-axis. Use the slope (m = 3) to find another point: ... Linear Equation of a line parallel to y-axis; Linear Equation and graph of a line parallel to x-axis; What is the Slope of a Line;