Latest Questions UpdateCategory: MathematicsWhat is an equation in Slope-Intercept Form of Straight Line

How to change any given line into Slope Intercept Form.

Find the equation of a line that is perpendicular to the given line y= -6x – 2 and passes through the given point (0,-12).

Education Desk Staff answered 1 year ago

he slope-intercept form of the equation of a straight line is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line intersects the y-axis).

An example of a straight line equation in slope-intercept form is y = 2x + 3. In this equation, the slope of the line is 2, which means that for every unit increase in x, the corresponding value of y will increase by 2. The y-intercept of the line is 3, which means that the line intersects the y-axis at the point (0,3).

To graph this equation, you can start at the y-intercept of (0,3) and use the slope of 2 to find other points on the line. For example, if you move one unit to the right (increase x by 1), you would move two units up (increase y by 2) to get the point (1,5). Similarly, if you move one unit to the left (decrease x by 1), you would move two units down (decrease y by 2) to get the point (-1,1).

Education Desk Staff answered 1 year ago

he slope-intercept form of the equation of a straight line is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line intersects the y-axis).

An example of a straight line equation in slope-intercept form is y = 2x + 3. In this equation, the slope of the line is 2, which means that for every unit increase in x, the corresponding value of y will increase by 2. The y-intercept of the line is 3, which means that the line intersects the y-axis at the point (0,3).

To graph this equation, you can start at the y-intercept of (0,3) and use the slope of 2 to find other points on the line. For example, if you move one unit to the right (increase x by 1), you would move two units up (increase y by 2) to get the point (1,5). Similarly, if you move one unit to the left (decrease x by 1), you would move two units down (decrease y by 2) to get the point (-1,1).