Which of the following graphs represents the line that passes through (–2, –3) and has a slope of 2/3?
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the points:
(-2, -3)
x1= -2
y1 = -3
m = ⅔
Determine the graph that represents the line.
Since we cannot graph the value, we simply need to write the equation of the line in point slope form.
Point-slope form:
y - y1 =m(x -x1)
Solution:
Substitute the given values of x1, m and y1 to the formula for the point-slope form.
y - (-3) = ⅔ ( x - (-2))
y + 3 = ⅔ ( x + 2 )
Final answer:
y + 3 = ⅔ ( x + 2 )