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Without m in the algebraic equation the line would have no steepness.

Q: Why does or what is the significance of m equals slope in algebraic equations?

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Flat slope is slope equals zero.

Base on the slope of two linear equations (form: y = mx+b, where slope is m): - If slopes are equal, the 2 graphs are parallel - If the product of two slopes equals to -1, the 2 graphs are perpendicular. If none of the above, then the 2 graphs are neither parallel nor perpendicular.

The statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True

y=mx+b, b is your y-intercept and m is your slope which is rise over run.

You need a pair of coordinates to work out the slope-intercept equation.

Related questions

No, equations with the same slope do not intersect unless they are the same line.

-1

If the slope of the equations are the same then they are parallel If the slope of the equations are minus reciprocal then they are perpendicular If the slope of the equations are different then they are neither

That will depend on what equations but in general if it has a slope of -3 then it will have a down hill slope

Y = -2x + 5 so the slope of this equation, along with the slopes of parallel equations, is -2

-7/5 For equations in Standard Form (Ax + By = C), slope equals -A/B. Or you could put the equation in Slope-Intercept form (y = mx + b) by solving for y and then finding the slope (m).

The equations will have the same slope as y = 5x+9 but a different y intercept

It will be any of the equations that has the same slope of y = 5x+9 but with a different y intercept

They are parallel because the slope has the same value in both equations.

Any one of them that has a slope of 9/2 or 4.5

A pair of simultaneous equations in two unknowns which are inconsistent - in the sense that there is no solution that simultaneously satisfies both equations. Graphically, the equations are those of two parallel lines (slope = 2). Since, by definition, they cannot meet there is no solution to the system.

Straight line equations:- And if: 3x-4y = 8 Then: y = 0.75x-2 whereas 0.75 or 3/4 is the slope and -2 is the y intercept