[4_06]Choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4.
help me please
use the "point slope" formula \[y-y_1=m(x-x_1)\] replace \(x_1\) by \(-3\) and \(y_1\) by \(-1\) and \(m\) by \(4\)
\(\bf \begin{array}{lllll} &x_1&y_1\\ (&3\quad ,&-1) \end{array} \\\quad \\ slope = m= 4 \\ \quad \\ y-y_1=m(x-x_1)\qquad \textit{plug in your values and solve for "y"}\)
hmmm \(\bf \begin{array}{lllll} &x_1&y_1\\ &(-3\quad ,&-1) \end{array} \\\quad \\ slope = m= 4 \\ \quad \\ y-y_1=m(x-x_1)\qquad \textit{plug in your values and solve for "y"}\)
y = -2x - 7 y = -2x +5 y = 2x + 5 y = 2x - 7 here are my choices
@satellite73 then what? i got y-1=4(x-3)
@jdoe0001
\(\bf \begin{array}{lllll} &x_1&y_1\\ &(-3\quad ,&-1) \end{array} \\\quad \\ slope = m= 4 \\ \quad \\ y-y_1=m(x-x_1)\implies y-(-1)=4(x-(-3)\)
then just solve for "y" to get the equation
@jdoe0001 can you jts give the answer?
makes us wonder why you weren't given the answer sheet along with the exercise do you know why?
ok , i understand. but i donr get it. i tried solving for y and got something ridiculous
well... tis ok... what did you get?
y - 1 = 4(x - 3) y + 1 = 4(x + 3) y - 3 = 4(x + 1) y + 3 = 4(x - 1)
ohhhhhh , it is the first one?
@jdoe0001
hmmm.... those look like choices, rather than your simplification
i didnt have to simplfy , these are my choices?
@jdoe0001
\(\bf \begin{array}{lllll} &x_1&y_1\\ &(-3\quad ,&-1) \end{array} \\\quad \\ slope = m= 4 \\ \quad \\ y-y_1=m(x-x_1)\implies y-(\color{red}{-1})=4(x-(\color{red}{-3}))\)
recall that - times - = +
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