Answer: slope
=
−
1
3
y-intercept
=
2
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
rearrange
x
+
3
y
=
6
into this form
subtract x from both sides
x
−
x
+
3
y
=
6
−
x
⇒
3
y
=
−
x
+
6
divide all terms by 3
⇒
y
=
−
1
3
x
+
2
←
in slope-intercept form
⇒
slope
=
−
1
3
and y-intercept
=
2
graph{-1/3x+2 [-10, 10, -5, 5]}
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
X=Y
/2+ 5/2
We need to isolate b on it own by rearrange:
3a+2b=c
-3a -3a
2b=c-3a
/2 /2
Ans: b=
Answer:
8 units
Step-by-step explanation:
Hello!
So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that c = , where <em>c</em> is the hypotenuse and <em>a</em> and <em>b </em>are the legs of the triangle.
So, from the problem, if <em>c </em>= 17 and <em>a </em> = 15, then, we're solving for <em>b</em>. So we'll rewrite the theorem to solve for <em>b</em>.
Okay, so now we have isolated the theorem for <em>b. Let's </em>plug in our values for <em>c </em>and <em>a</em>.
So, using the theorem, we found <em>b</em> = 8. To check our work, let's plug in <em>b</em> and <em>a</em> and solve for <em>c.</em>
<em /><em />
So, we got our hypotenuse to equal 17 units, which is correct! So, our <em>b</em> is correct too. Awesome