We have two points:
The point slope form of the line:
Substitute
Answer:
Answer:
y=2x-8
or
f(x)=2x-8
Step-by-step explanation:
To write in slope-intercept form using this information, first use the point slope formula.
y-y1=m(x-x1)
m is slope.
y+4=2(x-2)
Use distributive property on the right side.
y+4=2x-4
Now, subtract 4 from both sides.
y+4-4=2x-4-4
y=2x-8
Written using function notation:
f(x)=2x-8
Hope this helps!
If not, I am sorry.
Answer:
a = 2
Step-by-step explanation:
Let's find the equation of the line using the 2 points given.
Let's call -1 as x_1 and -5 as y_1
also, 4 as x_2 and 5 as y_2
The equation of line is :
<em>Let's plug the points and get the equation of the line:</em>
Now, to find a, we substitute a in x and 1 in y of the equation of the line we just got:
Add 12.18 to both sides so you have 2.14x= 6.52, the you divide both sides by 2.14 so the answer is 6.52/2.14 which is 3.05 rounded
Answer:
RS/VU=ST/UT and ∠S≅∠U
Step-by-step explanation:
we know that
The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem the included angle is
∠S≅∠U
therefore
side RS must be proportional to side VU and side ST must be proportional to side UT
so
RS/VU=ST/UT
<em>Verify</em>
substitute the given values
12/6=16/8
2=2 -----> is true
therefore
The two sides are proportional
