Answer:
(D)5
Step-by-step explanation:
Given the point J(-3,1) and K(8,11).
The line segment that divides the segment from J to K in any given ratio can be determined using the formula.
In the given case:
, m:n=2:3
Since we are to determine the y-coordinate of the point that divides JK into a ratio of 2:3, we have:
The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is 5.
The correct option is D.
Answer:
M=3*2
M=6
Step-by-step explanation:
Answer:
y = 8x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 8 and c = 5
y = 8x + 5 ← equation of line
Answer:
a) Use the two points to compute the slope, then put that and one of the points into the point-slope form
b) Eliminate parentheses and solve for y to get the equation in slope-intercept form
c) From slope-intercept form, subtract the x-term, then multiply by a common denominator of there are any fractions. Multiply by -1 if necessary to make the x-coefficient positive.
Step-by-step explanation:
a) The slope (m) is computed from two points by ...
... m = (y2 -y1)/(x2 -x1)
That value and one of the points goes into the point-slope form ...
... y -y1 = m(x -x1)
b) Putting the above equation into slope-intercept form is a matter of consolidating all of the constants.
... y = mx +(-m·x1 +y1)
c) Rearranging to standard form puts the x- and y-terms on the same side of the equal sign, preferably with mutually prime integer coefficients. This may require that the equation be multiplied by an appropriate number. The x-coefficient should be positive.
<u>Example:</u>
y -3 = 1/2(x +7) . . . . . . line with slope 1/2 through (-7, 3)
-1/2x + y = 7/2 + 3
x -2y = -13 . . . . . . . . . multiply by -2 to get standard form
