Answer:
the value of line ST is 6 centimeters long
Step-by-step explanation:
The attached image in conjunction with the question is shown in the file below.
We can see from the RT segment that the equation given can be expressed as:
so; if we solve for x ; we have ;
divide both sides by 5 ; we have:
However ; the value of ST is represent by the information:
replcaing the value for x; we have :
Thus, the value of line ST is 6 centimeters long
Answer <u>(assuming it can be in slope-intercept form)</u>:
Step-by-step explanation:
1) First, find the slope of the line between the two points by using the slope formula, . Substitute the x and y values of the given points into the formula and solve:
Thus, the slope of the line is .
2) Next, use the point-slope formula to write the equation of the line in point-slope form. Substitute values for
,
, and
in the formula.
Since represents the slope, substitute
in its place. Since
and
represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:
