The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x = - 3
x = ( - 3 ) : ( - 3 )
x = 1
When x = 0
y = 3 * 0 - 3
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) =
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 .
Answer:
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Step-by-step explanation:
Answer:
α + β = - ba and αβ = ca.
⇒ x2 + bax + ca = 0 (Since, a ≠ 0)
⇒ x2 - (α + β)x + αβ = 0, [Since, α + β = -ba and αβ = ca]
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Choosing two points on the dotted line to find equation of line.
The points are:
and 
Slope of line can be calculated as:
Using point slope equation to find equation of dotted line.
where 
represents slope of line and 
represents y-intercept.
The y-intercept for the dotted line = 6 as it intersects the y-axis at (0,6)
So, the equation of line is:
The dotted line indicates that the line is not included in the solution.
The solution of the inequality is below the dotted line, so thus it would be less than the line.
So, the inequality would be:
