K= -3

3y = x+6 can be rewritten as y = 1/3x + 2
a perpendicular slope is the opposite reciprocal of the original slope
so instead of 1/3 it would be -3
therefore. k must equal -3 to be perpendicular to 3y = x+6

3 0

3 years ago

HELPPPPPPPP PLSSSS I HAVE 30 BEFORE THIS IS DUE

postnew [5]

Answer:

The line equation in slope-intercept form is:

$y\:=-\frac{2}{5}x+4$

Hence, option D is true.

Step-by-step explanation:

Given the points

(0, 4)

(5, 2)

Finding the slope between the points

$\left(x_1,\:y_1\right)=\left(0,\:4\right),\:\left(x_2,\:y_2\right)=\left(5,\:2\right)$

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{2-4}{5-0}$

$m=-\frac{2}{5}$

As the y-intercept is obtained by setting the value x = 0.

As we know that when x = 0, the vale of y-intercept y = 4

so the y-intercept is b = 4.

As the slope-intercept form is

substituting the slope m = -2/5 and the y-intercept b=4

$y = mx+b$

$y\:=-\frac{2}{5}x+4$

Therefore, the line equation in slope-intercept form is:

$y\:=-\frac{2}{5}x+4$

Hence, option D is true.

6 0

3 years ago