we have
we know that
this is the equation of a line, to identify which is the graph we will proceed to determine the points of intersection with the coordinate axes
1) <u>Find the y-intercept</u>
the y-intercept is when the value of x is equal to zero
For
find the value of y
2) <u>Find the x-intercept </u>
the x-intercept is when the value of y is equal to zero
For
find the value of x
therefore
the answer is the option B ( see the attached figure)
Answer:
see explanation
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, - 6) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line
m = =
, thus
y = x + c ← is the partial equation
To find c substitute either ot the 2 points into the partial equation
Using (2, - 3), then
- 3 = + c ⇒ c = - 3 -
= -
y = x -
← equation of line