I want to know the answer
1 answer:
Let
A-----> the point (0.25,1)
B-----> the point (0.50,1.75)
we know that
the equation that represents the linear function is the equation of a line
so
step 1
find the slope m with the points A and B
m=(y2-y1)/(x2-x1)-----> m=(1.75-1)/(0.50-0.25)---> m=0.75/0.25--> m=3
step 2
with m=3 and point A (0.25,1)
find the equation of a line
y-y1=m*(x-x1)-------> y-1=3*(x-0.25)----> y=3x-0.75+1----> y=3x+0.25
the answer is
y=3x+0.25
see the attached figure
A-----> the point (0.25,1)
B-----> the point (0.50,1.75)
we know that
the equation that represents the linear function is the equation of a line
so
step 1
find the slope m with the points A and B
m=(y2-y1)/(x2-x1)-----> m=(1.75-1)/(0.50-0.25)---> m=0.75/0.25--> m=3
step 2
with m=3 and point A (0.25,1)
find the equation of a line
y-y1=m*(x-x1)-------> y-1=3*(x-0.25)----> y=3x-0.75+1----> y=3x+0.25
the answer is
y=3x+0.25
see the attached figure
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Let's call that other line with the eqn. y=2x-1 line M.
This line is in slope-intercept form, which means that it is written in the form y=mx+b where m is the slope and b is the y-intercept.
This means that the slope of line M is 2.
Perpendicular lines have slopes which are opposite reciprocals.
(that is to say, if you flipped the fraction and changed the sign)
Of course, 2 isn't a fraction, but it's implied as 2/1.
The opposite reciprocal would then be -1/2.
Let's plug this into our slope-intercept form equation for line L.
y = mx + b
y = -1/2x + b
Of course, we still need to find that y-intercept. (y when x = 0)
To do this, we need to interpret the slope.
Slopes are rise over run, so m = -1/2 means a change of -1 in y = 2 in x.
Let's take a point we know is in our line, (8, 1).
To find that y-intercept, we want x to be 0.
To do this, we'd have to subtract 8 from x.
And according to our slope, this means adding 4 to y.
Our y-intercept is at (0, 5), with the value b that we use being just 5.
This line is in slope-intercept form, which means that it is written in the form y=mx+b where m is the slope and b is the y-intercept.
This means that the slope of line M is 2.
Perpendicular lines have slopes which are opposite reciprocals.
(that is to say, if you flipped the fraction and changed the sign)
Of course, 2 isn't a fraction, but it's implied as 2/1.
The opposite reciprocal would then be -1/2.
Let's plug this into our slope-intercept form equation for line L.
y = mx + b
y = -1/2x + b
Of course, we still need to find that y-intercept. (y when x = 0)
To do this, we need to interpret the slope.
Slopes are rise over run, so m = -1/2 means a change of -1 in y = 2 in x.
Let's take a point we know is in our line, (8, 1).
To find that y-intercept, we want x to be 0.
To do this, we'd have to subtract 8 from x.
And according to our slope, this means adding 4 to y.
Our y-intercept is at (0, 5), with the value b that we use being just 5.