Question

Write the equation of the line that is parallel to the line y = -x - 2 through the

point (4,-2)

Answer 1

y = -x +2

Explanation:

Equation of a line in slope-intercept form :

y = mx + b where m = slope and 'b' is the y-axis intercept

y = -x-2 is in this form..... slope m = -1 b = -2

the parallel line will have the same slope = -1 and will look like

y = -x + b

to calculate the value of 'b' for this line, substitute in the point given:

-2 = - (4) + b shows b = 2

so your line becomes y = -x + 2

Answer 2

y =-x + 2

Explanation:

Equation of line:

Parallel lines have same slope.

y = -x - 2

Compare with the equation of the line in slope y-intercept form: y =mx + b

Slope = m = -1

So, equation of line: y = -x + b

Point(4 ,-2) is going through this line. so, substitute x = 4 & y = -2 in the above equation.

-2 = -4 + b

-2 + 4 = b

`\sf \boxed{b = 2}`

Equation of the required line:

`\sf \boxed{\bf y = -x + 2}`