Point-slope form of an equation of the line through the points (-1, 4) and (-2, 2).
2 answers:
The point-slope form equation of a line is: y − y1 = m(x − x1)
First find the slope which is the change in y over the change in x:
Slope = 2-4 / -2 - -1 = 2-4 / -2+1 = -2/-1 = 2
In the point-slope equation:
M = slope = 3
y1 = 4
x1 = -1
Replace the letters with their values to get:
y -4 = 2(x- -1)
Simplify:
Point-slope form: y-4 = 2(x+1)
Answer:
<h2>y - 4 = 2(x + 1)</h2>
or
<h2>y - 2 = 2(x + 2)</h2>
Step-by-step explanation:
The point-slope of an equation of a line:

<em>m</em><em> - slope</em>
The formula of a slope:

We have the points (-1, 4) and (-2, 2).
Substitute:

for the point (-1, 4):

for the point (-2, 2):

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