Question

write the equation of the line in slope-intercept form. the coordinates are (3, 0) and (0, -2) and the line passes through the positive 3 on the x-axis.

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Given the coordinates (3, 0) and (0, -2), we can calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1)

Using (3, 0) as (x1, y1) and (0, -2) as (x2, y2):
m = (-2 - 0) / (0 - 3)
m = -2 / -3
m = 2/3

Therefore, the slope (m) is 2/3.

We also know that the line passes through the positive 3 on the x-axis. This means that the line will have a y-intercept of 0, as it crosses the y-axis at the point (0, 0).

Now, we can write the equation of the line in slope-intercept form:

y = mx + b

Substituting the slope (m) as 2/3 and the y-intercept (b) as 0, the equation becomes:

y = (2/3)x + 0

Simplifying, the equation of the line is:

y = (2/3)x

Answer 2

thats wrong

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the error. Let's correct it:

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).

Given the coordinates (3, 0) and (0, -2), we can calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1)

Using (3, 0) as (x1, y1) and (0, -2) as (x2, y2):
m = (-2 - 0) / (0 - 3)
m = -2 / -3
m = 2/3

Therefore, the slope (m) is 2/3.

Now, to find the y-intercept (b), we know that the line passes through the positive 3 on the x-axis. This means that when x = 3, y = 0.

We can substitute these values in the slope-intercept form equation to find b:

0 = (2/3)(3) + b
0 = 2 + b
b = -2

Therefore, the y-intercept (b) is -2.

Now, we can write the equation of the line in slope-intercept form:

y = mx + b

Substituting the slope (m) as 2/3 and the y-intercept (b) as -2, the equation becomes:

y = (2/3)x - 2

Thus, the corrected equation of the line in slope-intercept form is y = (2/3)x - 2.

Answer 4

given the equation y= -x+2, what is the slope? write your answer as an integer.

Answer 5

[AI-generated answer — Bot GPT 3.5]

The slope of the equation y = -x + 2 is -1.

Answer 6

given the equation y=-2x+2, what is the slope? write your answer as an integer.

Answer 7

[AI-generated answer — Bot GPT 3.5]

The slope of the equation y = -2x + 2 is -2.