In the given figure what is the value of x?
1 answer:
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Hello!
To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.
Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.
1. Find the slope
The slope formula is: . To use this formula, you need two points and also, you need to assign these points to
,
,
, and
.
In this case, and
is assigned to the ordered pair (1,3), while
and
is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.
The slope of these two points is 2.
2. Find the y-intercept
To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.
y = 2x + b (substitute)
3 = 2(1) + b (simplify)
3 = 2 + b (subtract 2 from both sides)
1 = b
The y-intercept of the two points is (0, 1).
With the necessary values to complete the equation, we can write the final equation.
The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.
Well, remember we can't take the square root of a negative
so we see that we have
so find those values that take sqrt of a negative and restrict hem from the domain
anny value greater than 1 and less than -1
so domain is from -1 to 1, including those numbers
D=[-1,1]
a. D=[-1,1] or from -1 to 1 is domain
b. for a TI-84, go to y-editor then input
for y1
c. for a TI-84, click 2nd then window (gets to tbset) scrol down to set Δx to 0.1, then cilick 2nd again then click graph (to select table) and scroll down till you see that value of y that is the biggest, that value is x=0.7
A. domain is from -1 to 1
B. use your brain or google the instructions for your calulator
C. at x=0.7
so we see that we have
so find those values that take sqrt of a negative and restrict hem from the domain
anny value greater than 1 and less than -1
so domain is from -1 to 1, including those numbers
D=[-1,1]
a. D=[-1,1] or from -1 to 1 is domain
b. for a TI-84, go to y-editor then input
c. for a TI-84, click 2nd then window (gets to tbset) scrol down to set Δx to 0.1, then cilick 2nd again then click graph (to select table) and scroll down till you see that value of y that is the biggest, that value is x=0.7
A. domain is from -1 to 1
B. use your brain or google the instructions for your calulator
C. at x=0.7