63. Write the slope-intercept form of an equation of the line
2 answers:
Answer:
y = - x +
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (- 1, 4)
m = =
= -
, thus
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 4), then
4 = + c ⇒ c = 4 -
=
y = - x +
← equation of line
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Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day.
We can solve this equation in a single step, we just need a bit of theory and a graph.
We can first see that its in form. Which is also known as Slope-Intercept form.
This means that we know the following.
is the y coordinate of the y intercept.
is the slope of the line.
Since we know that, we can see that from our equation that the slope of the line is 3 and the y intercept is (0,-7).
Now that we've gotten that, we can start graphing.
The y intercept is -7 so we can plot (0,-7) as one of our points.
The slope of 3 means that we got up 3 units then right a single unit.
Therefore, another point could be (1,-4).
With our two points, we can create our graph by creating a straight line through those two points and therefore plotting our line.
Cheers!
