Answer:
The coordinates of the point X:
Step-by-step explanation:
Let X be the point.
As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
Rise = y₂ - y₁
Run = x₂ - x₁
1 : 6 ratio means the point X lies at
Thus,
rise for X
run for X
Thus, coordinates of X will be:
Therefore, we conclude that:
The coordinates of the point X:
Equation of a line with an slope of 1/2 that contains (-4, 7) is
<em><u>Solution:</u></em>
We have been given a point and slope of an equation and have been asked to write it in an equation. The two forms of writing a point and slope in equation are point slope form and standard form.
The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.
To write in standard form we will first write it in point slope form and then rearrange it into a standard from.
<em><u>The formula for point slope form:</u></em>
where "m" is the slope of line
Given that "m" = and
Now, let us convert this equation to standard form
0.5x + 9 = y
0.5x - y = -9
Thus we have found out equation of line in point slope and standard form