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What are the values of m and c?
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Bookwork code: P76
Give each of your answers as an integer or as a fraction in its simplest form.
Y
5-
-4-
3
2-
1
-5 -4 -3 -2 -1.0 1 2 3 4 5
Line T
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Answer 1

m =
`(1)/(5)` , c = - 4

Explanation:

m is the slope of the line and is calculated using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m =
`(1-0)/(1-(-4))` =
`(1)/(1+4)` =
`(1)/(5)`

c is the value of the y- intercept , where the line crosses the y- axis

the line crosses the y- axis at - 4, then c = - 4