The slope intercept form of a linear equation has the following form where the equation is solved for y in terms of x:
<span>y = a + bx
b is the slope
a is a constant term. It is the y intercept, the place where the line crosses the y axis.</span>
Example 1
y = -13 + 7x
This equation is in slope intercept form. The y intercept is (0,-13) and the slope is 7.
Example 2
4x + 3y = 12
Rewrite this equation in slope intercept form.
<span>3y = 12 - 4x</span>
The equation is now in slope intercept form. The y intercept is (0,4) and the slope is
-4/3.
Example 3
5x - 3y - 15 = 0
Rewrite this equation in slope intercept form.
<span>3y = -15 + 5x</span>
The equation is now in slope intercept form. The y intercept is (0,-5) and the slope is
5/3.
Example 4
The equation is now in slope intercept form. The y intercept is (0,-7.5) and the slope is
1.5.
Answer: (7/8)x gallons
Explanation:
Let x be the amount of gasoline at the start of the trip.
During the trip the car uses 1/8 gallons of gasoline
Which mean it uses 1/8 of the original gasoline, (1/8)x.
Gasoline left in the tank:
x - (1/8)x = (7/8)x
Answer: y-intercept ( 0, -0.7 )
x-intercept ( 0 , -1.2 )
Step-by-step explanation:
q
Answer:
a
Step-by-step explanation:
Recall that the "point-slope" form of a linear equation may be expressed as
y = mx + b,
where m is the gradient.
If m is negative, the gradient is negative.
If m is positive, the gradient is positive.
In our case, if we consider option A,
x + 3y = -2 (rearranging)
3y = -x -2
y = (-1/3) x - (2/3)
if we compare this to the general equation at the top, we can see that
gradient, = m = (-1/3) which is negative.
hence option a has a negative gradient.
