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.
Question
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:
y = -3/2x + 11
Step-by-step 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