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1) Equation in Point Slope form is
2) So, linear equation of line with slope of -1/2 and point (3,5) is
3) a) Slope = -1/2 and point is (4,3)
b) Slope intercept form is
c) Standard form is:
d) x-intercept is (14,0) and y-intercept is (0,7)
Step-by-step explanation:
1) Write an equation in point slope form to model the table.
The standard form of point slope form is:
Finding Slope m:
Slope can be find using:
where
Putting values:
So, slope is -55/4 and considering x₁= -2 y₁=20
Putting values in point-slope form:
So, Equation in Point Slope form is
2) Write a linear equation for the line having Slope = -1/2 and point (3,5)
We will use Point Slope form:
Putting values:
So, linear equation of line with slope of -1/2 and point (3,5) is
3)
a) identify the slope and point
The standard form of point slope form is:
So, Slope = -1/2 and point is (4,3)
b) Convert to slope intercept form
The slope-intercept form is:
Solving:
So, Slope intercept form is
c) Convert to standard form:
Standard form is : ax+by=c
Solving:
can be written as
So, Standard form is:
d) Find the intercepts
y-y_{1} = m(x-x_{1})
- For x-intercept set y=0
can be written as
x-intercept is (14,0)
- For y-intercept set x=0
y-intercept is (0,7)
So, x-intercept is (14,0) and y-intercept is (0,7)
Keywords: Point Slope Form
Learn more about Point Slope Form at:
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