chin was shown the graph of a line that contained point (1, 7). he wrote (f(x)=4x + 3) to correctly…

chin was shown the graph of a line that contained point (1, 7). he wrote (f(x)=4x + 3) to correctly represent the line. which of these equations could represent the same line?\n(y - 7=3(x - 1))\n(y - 1=3(x - 7))\n(y - 7=4(x - 1))\n(y - 1=4(x - 7))

chin was shown the graph of a line that contained point (1, 7). he wrote (f(x)=4x + 3) to correctly represent the line. which of these equations could represent the same line?\n(y - 7=3(x - 1))\n(y - 1=3(x - 7))\n(y - 7=4(x - 1))\n(y - 1=4(x - 7))

Answer

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $(x_1,y_1)$ is a point on the line and $m$ is the slope. Given $f(x)=4x + 3$, the slope $m = 4$ and the point is $(1,7)$.

Step2: Substitute values into point - slope form

Substitute $m = 4$, $x_1=1$ and $y_1 = 7$ into $y - y_1=m(x - x_1)$. We get $y-7 = 4(x - 1)$.

Answer:

C. $y - 7=4(x - 1)$