Question

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+

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the equation of the line passing through the points (-3,4) and (-6,3) in slope-intercept form (y=mx+b), we first need to find the slope (m) using the formula:

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

Let's assign the first point (-3,4) as (x1, y1) and the second point (-6,3) as (x2, y2):

x1 = -3
y1 = 4
x2 = -6
y2 = 3

Now, let's find the slope (m):

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

Now that we have the slope (m), we can substitute one of the points and the slope into the slope-intercept form (y = mx + b) to solve for b:

Using the point (-3,4):
4 = (1/3)(-3) + b
4 = -1 + b
b = 4 + 1
b = 5

Now that we have the slope (m = 1/3) and the y-intercept (b = 5), we can write the equation in slope-intercept form:

y = (1/3)x + 5