Question

1. $2x + 5y = 10$

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 $(0, 2)$.

Step3: Plot and connect points

Mark the points $(5, 0)$ and $(0, 2)$ on the grid, then draw a straight line through them.

Answer:

The line $2x+5y=10$ passes through the x-intercept $(5, 0)$ and y-intercept $(0, 2)$; the graph is a straight line connecting these two points.