The slope intercept form of equation of required line is y = 3x + 9
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If
is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = ![tan\theta](https://tex.z-dn.net/?f=tan%5Ctheta)
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here,
Slope = 3
The line passes through (8, 33)
Equation of required line
y - 33 = 3(x - 8)
y - 33 = 3x - 24
y = 3x - 24 + 33
y = 3x + 9
To learn more about equation of line in slope intercept form, refer to the link:
brainly.com/question/25514153
#SPJ1
Answer:
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
Step-by-step explanation:
We have that the initial triangles are equal. Let us check which components remain within the final triangles as the same. The only such components are the angles B and C. We now know that we have to apply a triangle equality criterion.
The triangles BGH and CIH are equal since the have 2 common sides and the respective interior angles are equal. Then we have that BI=GC and also that the respective angles B and C are equal. THen also HIJ=HGJ since they fill to 180 degrees with angles that are equal.
Hence by angle-side-angle the triangles BJI and CJG are equal.
∠BIJ ≅ ∠CGJ and ∠BJI ≅ ∠CJG
Answer:
![\displaystyle x = \sqrt{y^2 + z^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%20%5Csqrt%7By%5E2%20%2B%20z%5E2%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra i</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
![\displaystyle x^2 = y^2 + z^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%5E2%20%3D%20y%5E2%20%2B%20z%5E2)
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Equality Property] Square root both sides:
![\displaystyle x = \sqrt{y^2 + z^2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%20%3D%20%5Csqrt%7By%5E2%20%2B%20z%5E2%7D)
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(
0
, 1
)
Equation Form:
x
=
0
, y
=
1
Step-by-step explanation:
Graph.
y
=
−
5/
2
x
−
1
y
=
3
x
−
1
y
=
2/
5
x
+
1
y
=
5/
3
x
+
1