y=mx+b
Chat with our AI personalities
The slope is the gradient which is y2-y1/x2-x1 To find the y int you set the equation of the line equal to zero i think :/
At a y-intercept, the graph touches the y-axis, meaning the value of x is 0. So, in any linear equation, simply set x equal to 0 and solve for y. In the slope-intercept form of a linear equation (y = mx + b), the y-intercept value is represented by the variable b.
slopeintercept equations are used to find the slope and intercept (obviously lol) they are set up like this y=mx+b m is the slope and b is the y-intercept lets say you have an equation like... 2x + y = 5 (now minus 2x from both sides) 2x - 2x + y = 5 - 2x (simplify) y = 5 - 2x just use algebra to turn the standard form to slope intercept form
There are several standard forms; none is really any simpler than the others. Here are two froms commonly used for two variables: Ax + By + C = 0 This is standard, in a way, since it is common to set the right side of an equation equal to zero. This form is easy to extend to more than two dimensions (variables). y = mx + b The slope-intercept form. The equation is solved for "y"; the slope ("m") and the y-intercept ("b") can be read directly from the equation.
Suppose the two points are (a,b) and (c,d) then the slope is (b-d)/(c-a). Write that as m. Then the equation of the line is y-b = m(x-a) which can be simplified to y = mx + b-ma