Answer:
C
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 )
To calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (0, 8)
m = =
= - 6
note the line passes through the point (0, 8) ⇒ c = 8
y = - 6x + 8 → C
1. To find the x-intercept, replace y in the equation with 0, then solve for x.
... To find the y-intercept, replace x in the equation with 0, then solve for y.
If the equation is easily put into the form
... x/a + y/b = 1
Then the x-intercept is "a" and the y-intercept is "b".
2. Let's graph 3x+4y = -12.
If we divide the equation by -12, we can put it into the form
.. x/(-4) + y/(-3) = 1
This equation has x-intercept -4 and y-intercept -3.
(If you know the intercepts, you can simply draw the line through them to graph your linear equation.)
