Question

what is the slope intercept form
through: (4,4), perp. to y=-4/9x-2

Answer 1

The final equation of required line is:

$y=\frac{9}{4}x-5$

Further Explanation:

Given equation of line is:

$y=-\frac{4}{9}x-2$

When the equation is given in slope-intercept form, the c-efficient of m is the slope of the line

Let m1 be the slope of given line:

Then

$m_1=-\frac{4}{9}$

Let m2 be the slope of line perpendicular to given line

We know that the product of slopes of two perpendicular lines is -1

$m_1.m_2=-1\\-\frac{4}{9}.m_2=-1\\m_2=-1 * -\frac{9}{4}\\m_2=\frac{9}{4}$

The general form is:

$y=m_2x+b\\Putting\ the\ value\ of\ m_2\\y=\frac{9}{4}x+b$

To find the value of b, putting (4,4) in equation

$4=\frac{9}{4}(4)+b\\4=9+b\\b=4-9\\b=-5$

The final equation of required line is:

$y=\frac{9}{4}x-5$

Keywords: Slope, Slope-intercept form

Learn more about point-intercept form of line at:

• brainly.com/question/4279146
• brainly.com/question/4354581

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