Question

A line is perpendicular to y = -4x - 2

and intersects the point (0,9).
What is the equation of this
perpendicular line?
y= Hx+
x+ [ ]
Hint: Use the Point-Slope Form: y - y1 = m(x - x1)
x X1)
Then write the equation in slope-intercept form.
Plis help

Answer 1

y = 1/4x + 9

Explanation:

Hello!

Equation of a line: y = mx + b

• y = output
• m = slope
• x = input
• b = y-intercept

A line that is perpendicular has the opposite reciprocal slope.

Since this line has the slope -4:

• Opposite: 4
• Reciprocal: 1/4

Our new line is y = 1/4x + b

Next, our line goes through point (0,9). This is our y-intercept, which can be used as our "b" value. Y -intercepts have an x-value of 0.

OUr equation is y = 1/4x + 9.