Q: Given the equation of a line how is the slope calculated?

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The equation provided does not have a defined slope. The slope of a line is determined by the coefficient of the x-term in the equation, but there is none in the given equation.

If the slope m is given at a point (xo, yo) of a line, then the equation of the line is given by: y - yo = m(x - xo)

The straight line equation is: y = mx+c whereas m is the slope and c is the y intercept

The slope is 5.

That will depend on the value of the slope which has not been given.

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Slope is the "steepness" of a line. If the line is on a grid, it can be calculated by dividing rise/run. If the line is given in the form of the equation y = mx + b the slope is the value of m.

Here is how to solve it. First, find the slope of the given line. To do this, solve the equation for "y". That will convert the equation to the slope-intercept form. From there, you can immediately read off the slope. Since parallel lines have the same slope, the line you are looking for will have the same slope. Now you need to use the point-slope form of the equation, with the given point, and the slope you just calculated. Finally, solve this equation for "y" to bring it into the requested slope-intercept form.

The equation provided does not have a defined slope. The slope of a line is determined by the coefficient of the x-term in the equation, but there is none in the given equation.

if a line has a slope of -2 and a point on the line has coordinates of (3, -5) write an equation for the line in point slope form

If the slope m is given at a point (xo, yo) of a line, then the equation of the line is given by: y - yo = m(x - xo)

The slope of the graph of that equation is -1.

There is no equation there but the slope of the line is the number that multiplies x in the straight line equation y = mx + b whereas m is the slope and b is the y intercept

Slope = 3

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4

Solve the line equation for "y", to get it in slope-intercept form. You can immediately read the slope from this equation.Divide -1 by (slope of this first line) to get the slope of the second line - the one perpendicular to the given line. Write an equation for any line with this slope.

The straight line equation is: y = mx+c whereas m is the slope and c is the y intercept

If you mean: y = -3x then the slope of the line is -3