What are the slope and y-intercept of the linear function graphed to the left?
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youngsavage016
06/07/2017
Mathematics
High School
answered • expert verified
What are the slope and y-intercept of the linear function graphed to the left? slope: –2; y-intercept: 2 slope: ; y-intercept: 1 slope: ; y-intercept: 2 slope: 2; y-intercept: 1
2
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Let
we know that
The y-intercept is the y-coordinate of the point when the value of x is equal to zero
so
the y-coordinate of the point A is the y-intercept
The answer part a) is
The value of y-intercept is
Part b) Find the slope m
we know that
answer.
the value of the slope is equal to
Substitute the values
therefore
the answer Part b) is
The value of the slope is equal to
The general answer is
The slope is
The value of y-intercept is
Answer:
Step-by-step explanation:
For a general equation of a straight line given by : y=mx+cy=mx+c the slope is m and the y-intercept is given by c.
The y-intercept is the length of the point on the y-axis from origin where the line cuts the y-axis. It can be calculated by finding distance between the point where the line cuts y-axis and the origin.
The slope of a line is it's inclination towards the x-axis. It can be found using m=tan \theta =(y_2-y_1)/(x_2-x_1)m=tanθ=(y
2−y 1)/(x 2−x1 )
with the help of two points on the line.