Question

A line includes the points (–7, –3) and (–14, –6). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

`y=(3)/(7) x-(9)/(7)`

Explanation:

To find the equation of a line in slope-intercept form, we need to first find the slope of the line. To do this, we can use the formula:

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

In this case, we have the points (–7, –3) and (–14, –6), so our formula becomes:

slope = (-6 - (-3)) / (-14 - (-7)) = -3 / -7 = 3/7

We can now use the point-slope formula to find the equation of the line:

y - y1 = m * (x - x1)

where m is the slope and (x1, y1) is a point on the line. In this case, we have m = 3/7 and (x1, y1) = (-7, -3), so our equation becomes:

y - (-3) = (3/7) * (x - (-7))

We can now rearrange this equation to put it into slope-intercept form:

y = (3/7) * x + (3 * (-7) / 7) = (3/7) * x - 9/7

Therefore, the equation of the line in slope-intercept form is y = (3/7) * x - 9/7.