write the equation of the line in slope - intercept form, y = mx + b.
write the equation of the line in slope - intercept form, y = mx + b.
Answer
Explanation:
Step1: Find the slope $m$.
Use two - points on the line, say $(0, - 2)$ and $(1,1)$. The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So $m=\frac{1-(-2)}{1 - 0}=\frac{1 + 2}{1}=3$.
Step2: Find the y - intercept $b$.
The y - intercept is the y - value when $x = 0$. From the graph, when $x = 0$, $y=-2$, so $b=-2$.
Step3: Write the equation.
Substitute $m = 3$ and $b=-2$ into $y=mx + b$. We get $y = 3x-2$.
Answer:
$y = 3x-2$