Which line has the same slope as the lone passing through (-4,-1) and (-1,-7) 1) 6x+3y=5
2)y=-1/2x-7
3)y=-2

1) 6x+3y=5    

Step-by-step explanation:

1) First, find the slope of the line passing through (-4, -1) and (-1, -7). Use the slope formula . Substitute the x and y values of the two points into the formula and solve:

So, the slope is -2.

2) Now, identify the slopes of the lines in the options. We already know the slope of  is since it is in slope-intercept form. y = -2 must have a slope of 0 since it's horizontal, and all equations with the format of y = a number are horizontal.

To find the slope of , isolate y to put the equations into slope-intercept form ( format), and whatever the coefficient of the x-term is will be the slope.

.

So, the slope of the first option is -2. It matches the slope we calculated in the first step, so that must be the answer.

6

step-by-step explanation: