Question

Please help me determine the equation of the line in slope intercept form and show all work. A line that is perpendicular to the line
y = x - 199 that passes through the
points (-6,7)

Answer 1

Answer:

y= x + 13

Step-by-step explanation:

Since the line is perpendicular, it means that our line would have the reciprocal of the slope given. In this case, slope of 1.(and 1/1 doesn't make any difference)

Hence, let's lay out the equation of a line:

y=mx+b where m is the slope, b is the y-intercept and x and y coordinates.

Let's plug everything we have in the equation and find b.

7= 1(-6) + b

7= -6 + b

7+6 = b (adding 6 both sides)

13= b

Hence, the equation is y= x + 13

Hope this helps!