The product of given expression is
<em><u>Solution:</u></em>
Given that we have to find the product and write it in lowest term
Given expression is:
Let us first find common factors of numerator and denominator so, thet simplification becomes easier
Substituting these in above expression, we get
Cancel the common factors in numerator and denominator
In decimal form, we get
Thus the product of given expression is
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.
Answer: y + 2 = ( x - 4 )
Step-by-step explanation:
The equation of a line in point - slope form is given as ;
y - = m (x -
)
= 4
= -2
m =
Substitute the values into the equation , we have
y - (-2) = ( x - 4 )
y + 2 = ( x - 4 )
Which could be written as :
y + 2 = y + 2 = x + 2