Question

I need help with these three questions please don’t skip!! :(

Answer 1

50)
`-(1)/(2)`

51)
`-(1)/(3)`

52)
`-(3)/(2)`

Explanation:

y = mx + c

The 'm' in this equation represents the gradient and the 'c' represent's the y-intercept using this information we can solve the questions so,

50) Using the information above the answer is
`-(1)/(2)`

51) To find the gradient/slope we have to utilise the gradient formula which is

`(y2-y1)/(x2-x1)`

Substitute in the values

`(4-2)/(-2-4)` =
`(2)/(-6)` =
`-(1)/(3)`

52) 2y - 3 = -6x.

First step is to put that into the y = mx + c format so

⇒ 2y - 3 = -6x

→ Add 3 to both sides to isolate 2y

⇒ 2y = -6x + 3

→ Divide both sides by 2 to isolate y

⇒ y = -3x + 1.5

The question asks for the sum of the slope and y-intercept so -3 + 1.5 - 1.5 so the answer is
`-(3)/(2)`