Question

think about the process what should you do first to graph the equation? graph the equation.
( y = \frac{2}{5}x + 4 )
what should you do first to graph the equation?
a. plot a point at the slope
b. plot a point at the y - intercept
c. plot a point at the x - intercept
d. plot the point ( (0,0) )

Explanation:

The equation \( y = \frac{2}{5}x + 4 \) is in slope - intercept form \( y=mx + b \), where \( b \) is the y - intercept. The y - intercept occurs when \( x = 0 \). For this equation, when \( x = 0 \), \( y=4 \), so the y - intercept is at the point \( (0,4) \). To graph a linear equation in slope - intercept form, the first step is usually to plot the y - intercept. Option A is incorrect because we can't plot a point "at the slope" (slope is a rate of change, not a point). Option C: To find the x - intercept, we set \( y = 0 \) and solve for \( x \), but this is not the first step. Option D: The point \( (0,0) \) is not on the line \( y=\frac{2}{5}x + 4 \) (when \( x = 0 \), \( y = 4
eq0 \)). So the first step is to plot the y - intercept.

Answer:

B. Plot a point at the y - intercept