Which of the following best represents the graph of `y = -3x + 4`?
A. | B. | ||
C. | D. |
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Which of the following best represents the graph of `y = -3x + 4`?
A. | B. | ||
C. | D. |
`A`
`y = -3x + 4`
`ytext(-intercept) = 4`
`text(Gradient is negative → slopes from)`
`text(upper left to lower right)`
`=> A`
Which of these equations represents the line in the graph?
`A`
`text{Graph passes through (0, 11) and (5.5, 0)}`
`text(Gradient)` | `=(y_2-y_1)/(x_2-x_1)` | |
`=(11-0)/(0-5.5)` | ||
`=-2` |
`:.\ text(Equation is:)\ \ y = 11 – 2x`
`=> A`
`A`
`l\ text{passes through (0, 2) and (1, 0)}`
`text(Gradient)` | `= (y_2-y_1)/(x_2-x_1)` |
`= (0-2)/(1-0)` | |
`= -2` |
`y\ text(intercept = 2)`
`:.y = -2x + 2`
`=>A`
Which equation represents the relationship between `x` and `y` in this table?
(A) `y = 2x+1`
(B) `y = 2x-2`
(C) `y = x/2-2`
(D) `y = x/2+1`
`D`
`text{By elimination (using the table)}`
`(0, 1)\ text(must satisfy)`
`:.\ text(NOT)\ B\ text(or)\ C`
`(2, 2)\ text(must satisfy)`
`:.\ text(NOT)\ A`
`=> D`
`D`
`y = 2x-2`
`text(By elimination)`
`text(It has a)\ y\ text(intercept of)\ -2`
`=> text(Cannot be)\ B\ text(or)\ C`
`text{(–1, 0) from}\ A\ text(doesn’t satisfy equation)`
`text(but)\ (1,0)\ text(from)\ D\ text(does)`
`=> D`