Give the equation of the line through the point (4, 5) with a slope of – 9/2 in slope-intercept form Question Give the equation of the line through the point (4, 5) with a slope of – 9/2 in slope-intercept form in progress 0 Math Bella 6 days 2021-10-07T14:48:00+00:00 2021-10-07T14:48:00+00:00 2 Answers 0

## Answers ( )

The required line is 2y = -9x + 26

Step-by-step explanation:Given,The point is (x1 ,y1) = (4,5) and

Slope (m) =

FormulaThe equation of a line through point (x1 ,y1) and slope m will be

Now, putting the values as (4,5) and we get,

or, 2(y-5) = -9(x-4) [ by cross multiplication]

or, 2y – 10 = -9x + 36

or, 9x + 2y = 26

or, 2y = -9x + 26

Here is the equation of the line.

Answer:Step-by-step explanation:y – y1 = m(x – x1)

y – 5 = -9/2*(x – 4)

y -5 = -9/2x + 9*4/2

y – 5 = -9x/2 +9*2

y-5=-9x/2 + 18

y= -9x/2 + 18 +5

y= -9x/2 + 23 {y =mx+c}