Write the equation of a line that has a slope of -4 and goes through (-2,7).
1 answer:
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:
You might be interested in
Answer: OPTION D.
Step-by-step explanation:
First, it is important to know the definition of "Chord" and "Arcs" in circles.
A Chord is defined as a segment that joins any two points of a circle.
An Arc is defined as portion of the circumference of a circle.
By definition:
1) If two chords of a circle are congruent (which means that they have equal measure), then their intercepted Arcs are also congruent.
2) If the Arcs are congruent, then they have congruent chords.
In this case, you know that the <em>Arc GH</em> and the <em>Arc JK</em> are congruent. Therefore, you can conclude that the <em>Chord GH</em> and the <em>Chord JK</em> are also congruent.
Then, knowing that:
You can determine that: