graph the line with the equation $y = -\\frac{2}{5}x + 1$.
graph the line with the equation $y = -\\frac{2}{5}x + 1$.
Answer
Explanation:
Step1: Find the y - intercept
The equation of the line is in slope - intercept form (y = mx + b), where (b) is the y - intercept. For (y=-\frac{2}{5}x + 1), when (x = 0), (y=1). So the line crosses the y - axis at the point ((0,1)).
Step2: Find the x - intercept
Set (y = 0) in the equation (y=-\frac{2}{5}x + 1). Then (0=-\frac{2}{5}x + 1). Solve for (x): [ \begin{align*} \frac{2}{5}x&=1\ x&=\frac{5}{2}=2.5 \end{align*} ] So the line crosses the x - axis at the point ((2.5,0)).
Step3: Plot the points and draw the line
Plot the points ((0,1)) and ((2.5,0)) on the coordinate plane and draw a straight line passing through them.
Answer:
Plot the points ((0,1)) and ((2.5,0)) and draw a straight - line through them to graph (y =-\frac{2}{5}x+1).