Question

Write the slope intercept form of the equation of each line.

2) The line through the point (4,5), perpendicular to y = 2/3x - 7.

Answer 1

y = -3/2x + 11

Explanation:

If it is perpendicular to the line, it will have a opposite reciprocal slope.

So, the slope will be -3/2.

Plug in the slope and given point into y = mx + b, then solve for b:

y = mx + b

5 = -3/2(4) + b

5 = -6 + b

11 = b

Plug in the slope and b into y = mx + b:

y = mx + b

y = -3/2x + 11

So, the equation is y = -3/2x + 11