Y = mx + b such as y = 3x + 5 the y-intercept (b) = 5
Chat with our AI personalities
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.
Write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1, 1).
The point slope form of a line is one that contains the point and the slope. It is (y-y1)=m(x-x1) Where (x1,y1) are the point on the line that you are given. The other (x,y) are any x and y and m is the slope. So if we have a point (1,2) just for example, and a slope m=3, then the point slope equation or form is (y-2)=3(x-1) Note: The point slope form is easy to remember. It comes directly from the definition of slope. The slope is the rise over the run, of (change in y values) divided (change in x values) Now call the slope m, and let a point we know be (x1,y1) and any other point on the line (x,y), then the slope is m=(y-y1)/(x-x1). Now multiply both sides by (x-x1) and you have the point slope form.
Slope is the characteristic of a line that gives the relationship between the position of one point on the line and the next point. If given two points it can be found using the formula y sub 2 - y sub 1 over x sub 2 - x sub 1. If you are given an equation in slope intercept form the slope is the value of m. If your are given an equation in standard form the slope is -a/b.In mathematics, the slope or gradient of a line describes its steepness, incline, or grade. A higher slope value indicates a steeper incline.
Point slope form of y-7=-3x identifies the line that pass through the slope of line (-2 -5) (7 -6).