Answer:
A. y + 5 = -3(x - 3)
Explanation:
Given the following data;
Points on the graph (x1, y1) = (3, -5)
Points on the graph (x2, y2) = (0, 4)
First of all, we would determine the slope of the equation of line;
Mathematically, the slope of a line is given by the formula;
[tex] Slope, \ m = \frac {Change \; in \; y-axis}{Change \; in \; x-axis} [/tex]
[tex] Slope, \ m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Substituting into the formula, we have;
[tex] Slope, \ m = \frac {4 - (-5)}{0 - 3} [/tex]
[tex] Slope, \ m = \frac {4 + 5}{0 - 3} [/tex]
[tex] Slope, \ m = \frac {9}{-3} [/tex]
Slope, m = -3
Next, to find the point-slope equation of the line, we would use the following formula;
y - y1 = m(x - x1)
y - (-5) = -3(x - 3)
y + 5 = -3x + 9
y = -3x + 9 - 5
y = -3x + 4 = mx + c
