3 divided by 5 (step by step)
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Answer:
Step-by-step explanation:
Equation of a line is given as:
y = mx + b
Where
m is the slope
and
b is the y-intercept (y-axis cutting point)
Since we know slope is -4, we can write:
y= mx + b
y = -4x+ b
Given the point (-2,7) , we can say:
x = -2
and
y = 7
Plugging these 2 values, we can solve for b:
y = -4x + b
7 = -4(-2) + b
7 = 8 + b
b = 7 - 8
b = -1
Now, we have the equation:
x = 8
Solution:
Side-splitter theorem:
<em>If a line is parallel to one side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.</em>
Do cross multiplication, we get
⇒ 4 × 42 = 21x
Divide by 21 on both sides, we get
⇒ 4 × 2 = x
⇒ 8 = x
Switch the sides.
⇒ x = 8
The value of x is 8.