There are several orders in which you can accomplish the steps needed to change from point-slope to general form, but basically: subtract m(x-x1) from both sides: y - y1 -m(x - x1)= 0. distribute m, yielding y - y1 -mx +mx1 = 0. combine the constants y1 and mx1. Rearrange the order so you have -mx +y +(mx1-y1)=0.
When you want to rewrite the standard form Ax + By + C = 0 to the slope-intercept form: Make sure that B is not equal to zero — if it is, the slope-intercept form does not exist. Rewrite your equation as By = -Ax - C . Divide both sides by B . We get y = -(A/B)x - C/B . We've found the slope-intercept form!
How do I convert standard form to slope intercept form? Make sure that B is not equal to zero — if it is, the slope-intercept form does not exist. Rewrite your equation as By = -Ax - C . Divide both sides by B . We get y = -(A/B)x - C/B . We've found the slope-intercept form!
To find the slope using a general or standard form equation, use the slope formula: m=-A/B where A and B are integer variables found in the equation. The m is the slope.
And the -8x by 2 when we do this the twos cancel. And you're left with y = 6 - 4x if you'd like youMoreAnd the -8x by 2 when we do this the twos cancel. And you're left with y = 6 - 4x if you'd like you can rearrange it to where it looks like y = -4x + 6 so -4 is the slope. And 6 is the Y intercept.
Thus, to convert to point-slope form, first convert to slope-intercept form, then move the constant term b to the left side of the equation (or isolate x and then divide by the y coefficient). Example: Convert 3x = 4y + 8 to point-slope form.
X plus 2 is equal to 0. So we get X is equal to a negative 4 and a negative 2. But when we write ourMoreX plus 2 is equal to 0. So we get X is equal to a negative 4 and a negative 2. But when we write our intercepts. It would be 4 comma 0. Or negative 4 comma 0.
When we find slope in standard form, we take the A term, divide by B, then change the sign (or we just say -A/B. In this example, we have -3/-1, which is the same as 3/1, or 3.
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