which equation represents the graphed function?\n-3x + 2 = y\n-\\frac{2}{3}x + 2 = y\n\\frac{3}{2}x - 3 =…
which equation represents the graphed function?\n-3x + 2 = y\n-\\frac{2}{3}x + 2 = y\n\\frac{3}{2}x - 3 = y\n2x - 3 = y
Answer
Explanation:
Step1: Find the y - intercept
The line crosses the y - axis at the point (0, - 3), so the y - intercept $b=-3$.
Step2: Find the slope
Use two points on the line, say (0, - 3) and (2,0). The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0-(-3)}{2 - 0}=\frac{3}{2}$.
Step3: Use the slope - intercept form
The slope - intercept form of a line is $y=mx + b$. Substituting $m = \frac{3}{2}$ and $b=-3$ gives $y=\frac{3}{2}x-3$.
Answer:
$\frac{3}{2}x - 3=y$