Question

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equation. Point: (5,4) Equation: y = 2/5x - 2​

Answer 1

y = (2/5)x + 2

Explanation:

The given equation y = (2/5)x - 2​ is already in slope-intercept form. The equation of the new line has precisely that form, except that the constant is different. To find the new constant (which is the y-intercept), replace x with 5 and y with 4 in y = (2/5)x + C:

4 = (2/5)(5) + C, or

4 = 2 + C. Therefore, C = 2 and the equation of the new line is y = (2/5)x + 2.