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Determine the intercepts of the line
x int
y int

Determine the intercepts of the line x int y int-example-1

1 Answer

4 votes

Answer:

Y-int = -45, X-int =-11.25

Step-by-step explanation:

Please read this before moving on :)

An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+b, where m is slope and b is the y-intercept.

We know that equation of a line is y=mx+b. To find the value of the x-intercept of the line we simply need to put the value of the y as 0.

Using the Slope Equation : Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

1 - Finding the Slope

2 points; (0,-40), (-10,0)

0-(-40)/(-10)-0 = 40/-10 = -4

2 - Y-INT

Y=MX+B

Y=MX+(-45)

Y=MX-45

Y-int = -45

3 - X-INT

Y=MX+B

0=(-4)x+-45

45=-4x

X-int =-11.25