graph this line using the slope and y - intercept: y = -\\frac{3}{8}x + 3 click to select points on the graph.
graph this line using the slope and y - intercept: y = -\\frac{3}{8}x + 3 click to select points on the graph.
Answer
Explanation:
Step1: Identify y - intercept
The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. For $y=-\frac{3}{8}x + 3$, $b = 3$, so the line crosses the y - axis at the point $(0,3)$.
Step2: Identify slope
The slope $m=-\frac{3}{8}$. This means for every 8 units we move to the right along the x - axis, we move 3 units down along the y - axis. Starting from the y - intercept $(0,3)$, if we move 8 units to the right (x = 8), then $y=-\frac{3}{8}\times8 + 3=-3 + 3=0$, so we get the point $(8,0)$. We can also move in the opposite direction. From $(0,3)$, if we move 8 units to the left (x=-8), then $y=-\frac{3}{8}\times(-8)+3 = 3 + 3=6$, getting the point $(-8,6)$. Plot the points $(0,3)$, $(8,0)$ and $(-8,6)$ and draw a straight line through them.
Answer:
Plot the points $(0,3)$, $(8,0)$ and $(-8,6)$ and draw a straight line through them on the given graph.