Write the equation of the line that passes through the points (-3, -2) and (0, -3)
2 answers:
Answer:
Step-by-step explanation:
One of the given points is the y-intercept. That means you can write the equation in slope-intercept form once you have found the slope.
m = slope = (change in y)/(change in x) = (y2 -y1)/(x2 -x1)
= (-3 -(-2))/(0 -(-3)) = -1/3
The slope-intercept form for slope m and intercept b is ...
y = mx +b
For slope -1/3 and intercept -3, the equation is ...
y = -1/3x -3
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Answer:
4.615 in
Step-by-step explanation:
Triangle ABC and ABD are similar because they have two corresponding congruent triangles that is right angle and ∠A. Triangle ABC and BCD are similar because they have two corresponding congruent triangles that is right angle and ∠C. Therefore Triangle ABC, ABD and BCD are similar. Since they are similar, then their sides are proportional in length.
In triangle ABC, using Pythagoras theorem:
AC² = AB² + BC²
AC² = 12² + 5²
AC² = 144 + 25 = 169
AC² = 169
AC = √169 = 13 in
Using similar triangle for ΔABC and ΔABD: