Suppose the slope intercept from is y = mx + c
Suppose you know the coordinates of some point P = (p,q) where p � 0 so that P is not the y-intercept,
then the equation of the line is (y-q) = m(x-p)
or y = mx + (-mp+q)
It is easy to see that if P were the y-intercept so that p = 0 and q = c, then this equation would become y = mx + (-m*0 + c) or y = mx + c as would be expected.
Yes.
In the case that you are using Slope-Intercept Form, no, you only plot two points: the y-intercept and one other point. If you don't use Slope-Intercept Form, then you have to use three points.
You can't. There are an infinite number of lines that pass through the point (-2, 3).They all have different y-intercepts and different slopes.In order to narrow it down to a single line, you have to give more information.One more point would do it.=======================================================Here's the minimum information needed to define a unique line:-- you name 2 points; I find slope, intercept, and all other points.-- you name one point and one intercept ... 'x' or 'y'; I find slope and all other points.-- you name x-intercept and y-intercept; I find slope and all other points.-- you name one point and the slope; I find intercept and all other points.-- you name one intercept and the slope; I find all other points.
y=mx+b is slope-intercept form y - y1 = m(x - x1) is point-slope form Used in algebra based math. On a graph; m is the slope b is the y-intercept x and y represent points
The slope of a line is its "rise over run", or the ratio of its change in y to its change in x. The y intercept is a point where a line intersects the y axis.
Yes.
How do you graph the slope and y intercept? The slope tells you the rise and the run. If the slope is ¾, the change in y =3 and the change in x = 4. Plot the y intercept point If the y intercept point is (0, +3), the slope tells you that a second point on the line is up 3 and right 4 to the point (+3 ,+7). You can go up any multiple of 3, and right the same multiple of 4, to find other points. To draw a good straight line, you need 2 points far apart. Let's move from the y-intercept, (0, +3) up 12 (4*3) and right 16 (4*4) to the point (12, 19). Draw a line through the y-intercept and the point (12, 19).
no it is different
Point slope? y=mx+b M being the slope, and b being the y-intercept.
In the case that you are using Slope-Intercept Form, no, you only plot two points: the y-intercept and one other point. If you don't use Slope-Intercept Form, then you have to use three points.
Neither. Changing the y-intercept will simply move the line up or down the y-axis.The "steepness" is all a matter of the slope.Now that we said that, we can think of a situation where changing the y-interceptwould change the slope of the line:That would be where you were given the y-intercept and one other point, and youhave to find the slope, or find the equation, or draw the line.If somebody sneaks in and changes the y-intercept, but leaves the other point rightwhere it is, then the slope of the line changes, (and so does the equation).
Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1, 1).
You can't. There are an infinite number of lines that pass through the point (-2, 3).They all have different y-intercepts and different slopes.In order to narrow it down to a single line, you have to give more information.One more point would do it.=======================================================Here's the minimum information needed to define a unique line:-- you name 2 points; I find slope, intercept, and all other points.-- you name one point and one intercept ... 'x' or 'y'; I find slope and all other points.-- you name x-intercept and y-intercept; I find slope and all other points.-- you name one point and the slope; I find intercept and all other points.-- you name one intercept and the slope; I find all other points.
If you're given an existing point and the slope of the line, then yes - the y-intercept depends on the slope.
You use point-slope form to find the equation of a line if you only have a point and a slope or if you are just given two point. Usually you will convert point-slope form to slope-intercept form to make it easier to use.
y=mx+b is slope-intercept form y - y1 = m(x - x1) is point-slope form Used in algebra based math. On a graph; m is the slope b is the y-intercept x and y represent points
The x-intercept is the point where the graph touches the x-axis.