Question

THIS IS TIMED! Find the equation of the graphed line.

On a coordinate plane, a line goes through (negative 6, 0) and (0, negative 7).
a.
y = negative 6 x minus 7
c.
y = negative StartFraction 6 Over 7 EndFraction x minus 6
b.
y = 6 x minus 7
d.
y = negative StartFraction 7 Over 6 EndFraction x minus 7



Please select the best answer from the choices provided


A
B
C
D

Answer 1

The equation of the line that goes through the points (-6, 0) and (0, -7) is y = -7/6x - 7, which is option D.

Step-by-step explanation:

To find the equation of the line that passes through the points (negative 6, 0) and (0, negative 7), we need to determine both the slope and the y-intercept of the line.

First, let's find the slope (m) using the slope formula m = (y2 - y1) / (x2 - x1).

m = (-7 - 0) / (0 - (-6)) = -7 / 6

The slope is negative 7 over 6, which means the line has a negative slope and will slope downward to the right.

Since the line goes through the origin (0, negative 7), the y-intercept (b) is -7.

Therefore, the equation of the line in slope-intercept form (y = mx + b) is:

y = (-7/6)x - 7

Thus, the correct answer is D. y = negative StartFraction 7 Over 6 EndFraction x minus 7.

Answer 2

D

Step-by-step explanation:

x/(-6)+y/(-7)=1

7x+6y=-42

7x+6y+42=0

y=(-7/6)x-7