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Answers
Step-by-step explanation:
firstly take out the equation of the line using coordinates.
eq. of line:
y=mx+c where m=slope of line
m=y2-y1/x2-x1
m=3/4
putting value of m in above eq., we get
y=3/4x+c
The value of c is still unknown. Since the line is said to pass through (–2, –5) and (6, 1), select either of the points and substitute the respective values for x and y. We shall select the point (6, 1).
1=3/4(6)+c
solving for c, we get c= -7/2.
With the values obtained for m and b, the equation of the line takes the form:
y=3/4x-7/2
Now, you can easily find the intercepts. By referring to the definition, we understand that the y-intercept is some coordinate point like (0, y), and the
x-intercept is (x, 0).
Since the x-coordinate is 0 for y-intercept, substitute the 0 for x in the equation.
y=3/4(0)-7/2
y= -7/2.
Similarly, find the x-intercept by replacing y with 0.
0=3/4x-7/2
7/4=3/4x
x=14/3.
You finally get the x-intercept as (14/3,0),and the y-intercept as (0,-7/2).
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Answer:
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