Construct a graph corresponding to the linear equation y=2x−6.

What is y 2x 6 on a graph?

The line you see on the graph, is an expression of the function rule “y = 2x +6”. The “2” being multiplied by ‘x’ represents the slope or rate of change; how steep or flat the line is on the graph. The “6” represents the y-intercept; the point on the line, where the line crosses the y-axis.

How do you find the linear equation of a graph?

Given the graph of a line, you can determine the equation in two ways, using slope-intercept form, y=mx+b y = m x + b , or point-slope form, y−y1= m(x−x1) y − y 1 = m ( x − x 1 ) . The slope and one point on the line is all that is needed to write the equation of a line.

How do you write an equation for a linear relationship?

We can use the points on a graph of a linear relationship to write an equation for the relationship. The equation of a linear relationship is y = mx + b, where m is the rate of change, or slope, and b is the y-intercept (The value of y when x is 0).

What is the Y intercept of y =- 2x 6?

y-intercept: Put x = 0 in the equation y = 2x – 6 and solve for x. The y-intercept is -6.

What is the formula for a linear function?

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

How do you determine a linear function?

How To: Given THE graph of A linear function, find the equation to describe the function.Identify the y-intercept from the graph.Choose two points to determine the slope.Substitute the y-intercept and slope into slope-intercept form of a line.

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How do you identify a linear equation?

Choose x values that are a constant numerical distance from each other. For example, put x values of -4, -2, 2 and 4 into the equation and solve for y for each value. Calculate the differences between the y values. If the differences are constant, or the same value, the equation is linear and has a constant slope.

How do you find a linear equation from a word problem?

Writing Systems of Linear Equations from Word ProblemsUnderstand the problem. Understand all the words used in stating the problem. Understand what you are asked to find. Translate the problem to an equation. Assign a variable (or variables) to represent the unknown. Clearly state what the variable represents.Carry out the plan and solve the problem.

How do you solve linear equations examples?

Examples on Solving Linear Equations:Solve: (2x + 5)/(x + 4) = 1. Solution: (2x + 5)/(x + 4) = 1. ⇒ 2x + 5 = 1(x + 4) Solve: 6x – 19 = 3x – 10. Solution: 6x – 19 = 3x – 10. Solve: 5 – 2(x – 1) = 4(3 – x) – 2x. Solution: 5 – 2(x – 1) = 4(3 – x) – 2x. x/2 + x/3 = x – 7. Solution: x/2 + x/3 = x – 7. 2/(x + 3) = 3/(5 – x)

What is the Y intercept of Y 2x?

1 Answer. The x-intercept is (0,0) . The y-intercept is (0,0) .

What does Y 2 look like on a graph?

The equation y=2 is in slope intercept form, where the slope is 0 and the y-intercept is 2 . The equation can be graphed as the equation y=0x+2 . The graph is a horizontal line where all values for y are 2 .

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