Look at the graph shown below:
What equation best represents the line?

A. y = 3/4x + 4
B. y = 4/3x + 4
C. y = 4x + 3/4
D. y = 4x + 4/3

Look at the graph shown belowWhat equation best represents the lineA y 34x 4 B y 43x 4 C y 4x 34 D y 4x 43 class=

Respuesta :

so.. take a peek at the picture... let's get two points from it, hmm say 0,4 notice it touches the y-axis there, and say hmmm -4, 1, almost at the bottom of the line

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 0}}\quad ,&{{ 4}})\quad % (c,d) &({{ -4}}\quad ,&{{ 1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-4}{-4-0}[/tex]

[tex]\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad \begin{array}{llll} \textit{plug in the values for } \begin{cases} y_1=4\\ x_1=0\\ m=\boxed{?} \end{cases}\\ \textit{and solve for "y"} \end{array}\\ \left. \qquad \right. \uparrow\\ \textit{point-slope form}[/tex]

once you get the slope and solve for "y", that'd be the equation of the line.
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