Writing Equations in Slope Intercept Form

Writing Equations in Slope Intercept Form Equations of a line can be written in many forms such as the standard form, slope-intercept form, point-slope form etc. These forms express the equation of a line in different ways and represent a line in various equation forms. Slope-intercept form of a line is written by taking the slope and the y-intercept of a line and it is written as: y = mx + b, where m is the slope of the line, b is the y-intercept and, x and y are the variables of the equation. Example 1: Write the equation of a line in slope-intercept form which has a slope of 2 and the point where the line intersects the Y-axis as (0, 5). Given: slope of the line, m = 2 The point where the line crosses the Y-axis is known as the y intercept. Given the point (0, 5) - this gives the y-intercept, b = 5 Slope-intercept form of a line - y = mx + b Using the above equation, we get: y = 2x + 5 Therefore the equation of the line is y = 2x + 5. Example 2: Write the equation of a line in slope-intercept form which has a slope of 4 and the point where the line intersects the Y-axis as (0, -2). Given: slope of the line, m = 4 The point where the line crosses the Y-axis is known as the y intercept. Given the point (0, -2) - this gives the y-intercept, b = -2 Slope-intercept form of a line - y = mx + b Using the above equation, we get: y = 4x + (-2) Therefore the equation of the line is y = 4x 2.