graph the line with the equation $y = \\frac{6}{5}x - 2$.
graph the line with the equation $y = \\frac{6}{5}x - 2$.
Answer
Explanation:
Step1: Find the y - intercept
The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=\frac{6}{5}x - 2$, when $x = 0$, $y=-2$. So the y - intercept is the point $(0,-2)$.
Step2: Find another point using the slope
The slope $m=\frac{6}{5}$. Starting from the y - intercept $(0,-2)$, using the slope formula $\text{slope}=\frac{\text{rise}}{\text{run}}$. The rise is 6 and the run is 5. So from the point $(0,-2)$, move 5 units to the right (increase $x$ by 5) and 6 units up (increase $y$ by 6). We get the point $(5,4)$.
Step3: Draw the line
Plot the points $(0,-2)$ and $(5,4)$ on the coordinate plane and draw a straight line passing through them.
Answer:
Plot the points $(0,-2)$ and $(5,4)$ and draw a line through them.