graph this line using the slope and y - intercept: y = 7x + 3 click to select points on the graph.
graph this line using the slope and y - intercept: y = 7x + 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 $y = 7x+3$, $b = 3$. So the line crosses the y - axis at the point $(0,3)$.
Step2: Identify slope
The slope $m = 7=\frac{7}{1}$. This means for every 1 unit increase in $x$, $y$ increases by 7 units.
Step3: Find another point
Starting from the y - intercept $(0,3)$, if we increase $x$ by 1 (let $x = 1$), then $y=7\times1 + 3=10$. So another point on the line is $(1,10)$.
Step4: Graph the line
Plot the points $(0,3)$ and $(1,10)$ on the coordinate plane and draw a straight line passing through them.
Answer:
Plot the points $(0,3)$ and $(1,10)$ and draw a straight - line through them.