What is the equation of the line that passes through the points (−3,4) and (−6,3) ? Write the answer in slope-intercept form.(1 point)

y=(
)x+

1 answer

To find the equation of the line in slope-intercept form (y = mx + b), we need to find the slope (m) and the y-intercept (b).

First, let's find the slope (m) using the formula:

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

Using the given points (-3, 4) and (-6, 3), we have:

m = (3 - 4) / (-6 - (-3))
m = -1 / (-6 + 3)
m = -1 / (-3)
m = 1/3

Now, let's find the y-intercept (b) using the formula:

b = y - mx

Using the point (-3, 4):

b = 4 - (1/3)(-3)
b = 4 + 1
b = 5

Therefore, the equation of the line that passes through the points (-3, 4) and (-6, 3) is:

y = (1/3)x + 5