Write the equation of the line using the information given about its graph.
Slope $-\frac{2}{5}, y$-intercept $(0,7)$

Answer

Expert–verified

Hide Steps

Answer

Final Answer: The equation of the line is $\boxed{y = -0.4x + 7}$.

Steps

Step 1 ：Given the slope $m = -\frac{2}{5}$ and the y-intercept $b = 7$.

Step 2 ：The equation of a line in slope-intercept form is given by $y = mx + b$.

Step 3 ：Substitute the given values into the equation to find the equation of the line.

Step 4 ：So, the equation of the line is $y = -\frac{2}{5}x + 7$.

Step 5 ：Final Answer: The equation of the line is $\boxed{y = -0.4x + 7}$.