Respuesta :

We need to rearrange the equation so that it is in slope-intercept form:

y = mx + b

Where m is the slope and b is the y-intercept.

To do this we just solve for y.

Subtract 6x from both sides.

-2y = 10 - 6x

Divide both sides by -2.

y = -5 + 3x

m=3

The line has a slope of 3.





The slope of the Line is 3

What is the slope of a line?

Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) may be easily determined by finding the difference among the coordinates of the points. The slope is normally represented by the letter 'm'.

Conclusion: The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

The general equation of a line having a slope is y = mx + c

we have to arrange the equation 6x - 2y = 10 in y = mx + c form

6x -2y = 10

2y = 6x - 10

y = 3x - 5

The slope of the line is represented by m, the value of m in equation y = 3x - 5 is 3

learn more about slope of a line here https://brainly.com/question/16949303

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