Question

Write an equation passing through the point that is parallel to the given equation

(4, 5); x-2y = 14​

Answer 1

To write an equation parallel to x - 2y = 14 and passing through (4, 5), we need to find the slope of the given equation and use it to write the new equation y = 0.5x - 2.

Step-by-step explanation:

Step by step explanation:

• First, rearrange the given equation in the slope-intercept form (y = mx + b), where m is the slope: x - 2y = 14 becomes -2y = -x + 14, then divide by -2 and simplify to get y = 0.5x - 7.

• The slope of the given equation is 0.5.

• Since parallel lines have the same slope, the new equation will have a slope of 0.5.

• Using the point-slope form of a linear equation, y - y1 = m(x - x1), substitute the coordinates of the given point (4, 5), and the slope (0.5) into the equation.

• Simplifying the equation, you get y - 5 = 0.5(x - 4), which can be further simplified to the final equation y = 0.5x - 2.