Question

HELPPPPPPPP PLSSSS I HAVE 30 BEFORE THIS IS DUE

A.) y=5/2x + 4

B.) y=-5/2x + 4

C.) y=2/5x + 4

D.) y=-2/5x + 4

Answer 1

The line equation in slope-intercept form is:

`y\:=-(2)/(5)x+4`

Hence, option D is true.

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}=(y_2-y_1)/(x_2-x_1)`

`m=(2-4)/(5-0)`

`m=-(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\:=-(2)/(5)x+4`

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

`y\:=-(2)/(5)x+4`

Hence, option D is true.