Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

Given Points are (8 , 30) and (18 , 60)
here x₁ = 8 and x₂ = 18 and y₁ = 30 and y₂ = 60

We know that the form of line passing through point (x₀ , y₀) and having slope m is : y - y₀ = m(x - x₀)
Here the line passes through the point (8 , 30)
⇒ x₀ = 8 and y₀ = 30
We found Slope(m) = 3
Substituting all the values in the standard form, We get :
Equation of the line : y - 30 = 3(x - 8)
Let d be the x-intercept of this line
⇒ The line passes through the point (d , 0) as at x-intercept, y-coordinate is zero.
⇒ 0 - 30 = 3(d - 8)
⇒ 3d - 24 = -30
⇒ 3d = -30 + 24
⇒ 3d = -6
⇒ d = -2
⇒ The x - coordinate of the x-intercept of the line is -2
Answer:
148 degrees
Step-by-step explanation:
The angles are supplementary so if you subtract 32 from 180, you get <em><u>148 degrees. </u></em>
ANSWER
Eva is correct because 13/2 + 3/2 = 8
There is no mistake. Dakota may have thought that there was a mistake because Eva simplified when she got the answer for 4x which is correct but Dakota may have thought that it was incorrect.
m3 = 110°
Step-by-step explanation:
m1 = 180° - m4 ( sum of angles in a straight angle )
m1 = 180° - 150° = 30°
m3 = 180° - (m2 + m1) ← sum of angles in a triangle
m3 = 180° - (40 + 30 )° = 180° - 70° = 110°
angle 1 and angle 7 are alternate exterior angles.
angle 1 and angle 5 are corresponding angles.
angle 3 and angle 8 are same side interior angles.
angle 2 and angle 8 are alternate interior angles.