Linear Function: y=0.2x+0.47

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In summary, the conversation involves finding the linear function for a straight line given by the equation 3x-15y+7=0. The individual is unsure of how to proceed but suggests dividing all the terms by 15 or 3 to simplify the equation. They also mention getting y alone as the easiest approach for graphing. The final attempt at a solution results in y=(3/15)x+7/15.
  • #1
JBemp
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Homework Statement


find the linear fuction ( in swedish its called the riktningskoefficient i think ,dunno if there the same thing am taking the text from a swedish book and translating to english) for the stright line 3x-15y+7=0


Homework Equations


Am unsure on how to proceed but I think i should divid all the turns by 15 or 3 to get ether 3x or 15y to just x or y, and seeing as its a graph getting y alone would have to be the easyest way to go



The Attempt at a Solution



3x-15y+7=0
15y=3x+7
y=0.2x+0.47
 
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  • #2
y=(3/15)x+7/15 is how I would leave it.
 
  • #3


The linear function, or riktningskoefficient, for the given straight line is y=0.2x+0.47. This means that for every increase of 1 unit in the x-direction, there will be an increase of 0.2 units in the y-direction. Additionally, the line intersects the y-axis at the point (0,0.47). This information can be useful in graphing the line and making predictions about the relationship between x and y values. To find the riktningskoefficient, you can rearrange the equation to solve for y, as shown in the attempt at a solution.
 

1. What is a linear function?

A linear function is a mathematical equation that represents a straight line on a graph. It is in the form of y=mx+b, where m is the slope of the line and b is the y-intercept, or where the line crosses the y-axis.

2. How do you graph a linear function?

To graph a linear function, you can use the slope-intercept form of the equation, y=mx+b. Start by plotting the y-intercept, or the point (0,b), on the y-axis. Then, use the slope, m, to find another point on the line by moving m units up or down and m units to the right or left from the y-intercept. Finally, draw a straight line through these two points to complete the graph.

3. What is the slope of a linear function?

The slope of a linear function is the ratio of the change in the y-values to the change in the x-values between any two points on the line. It can also be thought of as the "steepness" of the line. In the equation y=mx+b, m represents the slope.

4. How do you find the y-intercept of a linear function?

The y-intercept of a linear function can be found by looking at the equation in the form y=mx+b. The value of b represents the y-coordinate of the point where the line crosses the y-axis. It can also be found by plugging in x=0 into the equation and solving for y.

5. What is the significance of the coefficient of x in a linear function?

The coefficient of x, or the number multiplied by x, in a linear function represents the slope of the line. It determines how steep or flat the line will be. A larger coefficient means a steeper line, while a smaller coefficient means a flatter line.

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