Question

the equation for line p can be written as y = -1/2x+8. Line q, which is perpendicular to line p, includes the point (4,7). what is the equation of line q

Answer 1

Explanation:

y = 2x - 1

Answer 2

y = 2m -1

Explanation:

y = mx + b is the slope intercept form of a line.

Perpendicular slopes are opposite reciprocals of each other. That means that you flip the fraction and take the opposite sign. The slope will be 2.

Now us the slope, the x value and the y value from the give point to find the y-intecept (b)

Slope = 2 (m)

y = 7 from the point (4,7)

x = 4 from th point (4,7)

y = mx + b

7 = 2(4) + b

7 = 8 + b Subtract 8 from both sides

-1 = b

y = 2x - 1