An equation of a line that is parallel to the function graphed above is: D. y + 4 = 2/3(x + 3)
In Mathematics and Euclidean Geometry, two (2) lines are parallel under the following conditions:
Slope of line 1,
= Slope of line 2,
In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = rise/run
By substituting the given data points (0, 5) and (-6, 1) into the formula for the slope of a line, the constant speed of Fast Feddy is given by;
Slope (m) = (1 - 5)/(-6 - 0)
Slope (m) = -4/-6
Slope (m) = 2/3
Therefore, a line that is parallel to this line must have a slope of 2/3, which is only represented by this equation y + 4 = 2/3(x + 3).