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Points: (-4, -7) and (3, 2)

Slope: 9/7

Equation: 7y = 9x-13 or as y = 9/7x-13/7

Q: What are all the point slope equations of the line going through -4 -7and 3 2?

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y-6=5/6(x+5) AND y-1=-5/6(x-1)

Because of undefined slope, because undefined slope does not have a slope it doesn't have anything to substitute for m in the point slope equation.

Point-slope form is written as: y-y1=m(x-x1), where (x1, y1) is a point on the line and m is the slope (hence the name, point-slope form).

Point: (2, 3) Slope: 2 Equation: y = 2x -1

y-4=3/2(x-7)

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y-6=5/6(x+5) AND y-1=-5/6(x-1)

Because of undefined slope, because undefined slope does not have a slope it doesn't have anything to substitute for m in the point slope equation.

Point-slope form is written as: y-y1=m(x-x1), where (x1, y1) is a point on the line and m is the slope (hence the name, point-slope form).

If you mean: (2, 13) and (-4, -11) then the slope is 4 and both equations will have the same slope of 4 but with different y intercepts

Point: (2, 3) Slope: 2 Equation: y = 2x -1

y-4=3/2(x-7)

The solution of a system of equations corresponds to the point where the graphs of the equations intersect. If the equations have one unique point of intersection, that point represents the solution of the system. If the graphs are parallel and do not intersect, the system has no solution. If the graphs overlap and coincide, the system has infinitely many solutions.

y = 3 is a horizontal line going through the point (0,3) Therefore it has no slope * * * * * In mathematical terms it DOES have a slope and the slope is 0.

You need either a point and the slope of the line or two points. Then you use the point slope form of the line or the slope intercept form to write the lines.A given point has an infinite number of lines going through it, that is why you need more information.

Another point is needed to work out the slope and its straight line equation. Slope is worked out as: (y2-y1)/(x2-x1) ----------------------- With slope m and going through a point (x0, y0), a line has equation: y - y0 = m(x - x0) Thus the point-slope equation of a line with slope m through the point (-1, 2) is given by: y - 2 = m(x - -1) → y - 2 = m(x + 1)

Parallel straight line equations have the same slope but with different y intercepts

The equation for a line of slope m going through point (Xo, Yo) is given by: y - Yo = m(x - Xo) So for line of slope 2 going through (1, 9) the equation is: y - 9 = 2(x - 1) ⇒ y = 2x + 7