Find the equation for the line that has a parallel slope to the equation , and runs through the point (-2, 1).
Using the slope intercept formula, find the value of the y-intercept ‘b’. The ‘b’ value represents the distance e from the origin where the line crosses the y axis.
Write down known values from given equation and the ordered pair. The slope of two parallel lines is the same. Therefore we know that the value of ‘m’ is the same as ‘m’ in the original equation. ‘x’ and ‘y’ values represent coordinate values of the ordered pair.
Substitute known values into slope-intercept equation.
Solve the equation by Isolating the variable to one side.
Insert b value into slope intercept equation using the same slope provided in the original equation. The line is equidistant from the original line and the two lines will never meet.
Find the equation for the line that has a perpendicular slope to the equation , and runs through the point (4, 0). The ordered pair represents an x-intercept, based on the y value of 0. This is the point in which the line crosses the x-axis.
Using the slope intercept formula, find the value of the missing variable ‘b’.
Write down known values from given equation and point. The slope of two perpendicular lines is the negative reciprocal of each other. The ‘x’ and ‘y’ values represent the coordinate ordered pair.
Substitute known values into slope-intercept equation.
Find the product of the slope and ‘x’ coordinate value.
