Question

Find the slope and y intercept of b.

(-3,-6),(0,-12)

Y=m • + b = ?
Y intercept b =?

Answer 1

Explanation:

To find the slope (m) and y-intercept (b) of the line passing through the points (-3-6)and (0,-12), we can use the slope- intercept form of a linear equation, which is:

y= mx + b

where m is the slope and b is the y- intercept.

First, we can find the slope (m) using the formula:

m=(y2-y1) / (x2-x1)

where (x1,y1)=(-3,-6)and(x2,y2)=(0,-12)

m= (-12-(-6)/(0-(-3)

m= (-12+6)/3

m= -2

So the slope of the line is -2.

Now we can use the point- slope form of a linear equation to find the y-intercept (b). We can use either of the two given points, let's use the point (-3,-6):

y - y1= m(x-x1)

y-(-6) = -2(x-(-3)

y+6= -2(x+3)

y+6 = -2x-6

y= -2x - 12

So the equation of the line in slope intercept form is y = -2x -12, which means the y-intercept (b)is -12. Therefore, the slope (m) is -2 and the y- intercept (b) is -12.

Answer 2

Explanation:

To find the slope (m) of the line that passes through the points (-3,-6) and (0,-12), we can use the slope formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) = (-3,-6) and (x2, y2) = (0,-12)

m = (-12 - (-6)) / (0 - (-3))

m = -6 / 3

m = -2

Therefore, the slope of the line is -2.

To find the y-intercept (b), we can use the slope-intercept form of the equation of a line:

y = mx + b

where m is the slope and b is the y-intercept.

Using the point (-3,-6) on the line, we can plug in the values for x, y, and m to solve for b:

-6 = (-2)(-3) + b

-6 = 6 + b

b = -12

Therefore, the y-intercept of the line is -12.

Putting it all together, the equation of the line in slope-intercept form is:

y = -2x - 12