Final answer:
To find the equation of the line in standard form using the points (-8, -5) and (-7, -4), we first use the point-slope form to get y = x + 3, then rearrange the equation to standard form.
Step-by-step explanation:
To find the equation of the line in standard form using the points (-8, -5) and (-7, -4), we can use the point-slope form or the slope-intercept form of a linear equation.
Using the point-slope form, we have:
y - y1 = m(x - x1)
Substituting the values of the two points and solving for y, we get:
y - (-5) = (-4 - (-5)) / (-7 - (-8))(x - (-8))
y + 5 = 1/1(x + 8)
y + 5 = x + 8
y = x + 8 - 5
y = x + 3
This is the equation of the line in slope-intercept form.
To convert it to standard form, we move the x and y terms to the same side and rearrange the equation:
-x + y = 3
This is the equation of the line in standard form.