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If the point is (a, b), and the desired slope is m, the equation is:y - b = m(x - a) If the slope is not given, you can make up any slope. If you add "b" on both sides, you would get: y = m(x-a) + b
- 10X - 5Y = - 6 add 10X to both sides - 5Y = 10X - 6 divide both sides by - 5 Y = - 2X + 6/5 slope(m) = - 2
1) You write the equation in slope-intercept form, if it isn't in that form already. 2) An easy way to graph it is to start with the y-intercept. For example, if the intercept is +5, you graph the point (0, 5). Then you add an additional point, according to the slope. For example, if the slope is 1/2, you go 2 units to the right, and one up, and graph a point there.
Make the slope into a fraction. The numerator (top) is the rise - add it to the y. The denominator - bottom - is the run; add it to the x. This is your new point. Repeat as often as you wish, you can also subtract both numbers instead of adding. Make a graph, the points should all line up.
First, it would be beneficial to change the equation into slope-intercept form: (y = mx +b) 5x + 3y = 6 -5x -5x [add -5 to both sides] 3y = -5x+6 [divide everything by 3] y = -5/3x +2 Since "m" represents the slope, we can now see that the slope is equal to -5/3