The y-intercept, #b#, is found by plugging in #x=0# into the equation, which results in #y=b#, and therefore is the y-intercept. In some cases, if the equation is already arranged for you nicely, like #y=3x+5#, we can easily find the y-intercept for this line, which is #5#. Finding the Equation of a Line Given Two Points Most people when asked, “What is the equation of a line?”, will answer, “y = mx + b”. This is the equation of a line in what is called slope-intercept form where “m” is the slope and “b” is the y- intercept. So, how do you find the equation of a line?
slope of m and a y-intercept of b. This formula is known as the slope-intercept equation. Slope− InterceptEquation: y = mx + b If we know the slope and the y-intercept we can easily ﬁnd the equation that rep-resents the line. Example 2. Slope= 3 4,y − intercept= − 3 Usetheslope− interceptequation y= mx + b mistheslope,bisthe y − intercept 1 The Slope-Intercept Form of the equation of a straight line: y = mx + b. or : The Point-Slope Form of the equation of a straight line: y − y 1 = m(x − x 1)
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