Answer:
The equation of line g would be
y = 98x - 783
Step-by-step explanation:
The equation for line f can be written as y = 98 x − 10
Recall, the slope intercept equation is written as
y = mx + c
Where m is the slope
c is the intercept.
Comparing with the giving equation,
The slope, m = 98
Line g includes the point (8, 1)and is parallel to line f .
If two lines are parallel, then they have the same slopes.
Since line g is parallel to line f,
Slope of line g = 98
From y = mx + c, considering the points (8, 1)
1 = 98×8 + c
1 = 784 + c
c = 1 - 784 = -783
The equation of line g would be
y = 98x - 783
1/4 times 1/4 equals how much? This is the equation:
1/4 * 1/4 = ?
Multiply:
1/4 * 1/4 = 1/16
Answer:
9/5 < m < 9/4
Step-by-step explanation:
The conditions are:
- The line passes through (9,4)
- The slope (m) is greater than its y-intercept
If we take a point like (-1,0)
Slope (m) = change in y ÷ change in x = = 9/5
This point satisfies the conditions above since;
- The line passes through points (9,0) and (-1,0)
- The x-intercept is negative i.e -1
- The y-intercept is 0 and the slope which equals 9/5 is greater than 0
From the choices given;
we can say that:
m > 9/5 and m < 9/4
And can be expressed as;
9/5 < m < 9/4
Answer:
x = −3 and x = −2
Step-by-step explanation:
x^2 + 5x = −6
Add 6 to each side
x^2 + 5x+6 = −6+6
x^2 +5x+6 =0
Factor
What 2 number multiply to 6 and add to 5
3*2 =6
3+2 =5
(x+3)(x+2) =0
Using the zero product property
x+3 =0 x+2 =0
x+3-3=0-3 x+2-2=0-2
x=-3 x=-2