Question

echnology to find points and graph the line $2x + 5y = -10$, following t uctions below. done plotting points lot at least two points that fit on the axes below. click a point to delete it.

Explanation:

Step1: Find x-intercept (y=0)

Substitute \( y = 0 \) into \( 2x + 5y = -10 \):
\( 2x + 5(0) = -10 \)
\( 2x = -10 \)
\( x = -5 \)
So, the x-intercept is \( (-5, 0) \).

Step2: Find y-intercept (x=0)

Substitute \( x = 0 \) into \( 2x + 5y = -10 \):
\( 2(0) + 5y = -10 \)
\( 5y = -10 \)
\( y = -2 \)
So, the y-intercept is \( (0, -2) \).

Answer:

Two points on the line \( 2x + 5y = -10 \) are \( (-5, 0) \) and \( (0, -2) \). To graph the line, plot these two points and draw a straight line through them.