Question

ch graph/equation ax + by = c (mc)
core: 0/5 penalty: back to zero
question
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which of the following graphs represents the equation $2x + 10y = 30?$
a
b

Explanation:

Step1: Find x-intercept (y=0)

Substitute $y=0$ into $2x + 10y = 30$:
$2x + 10(0) = 30$
$2x = 30$
$x = 15$
So x-intercept is $(15, 0)$

Step2: Find y-intercept (x=0)

Substitute $x=0$ into $2x + 10y = 30$:
$2(0) + 10y = 30$
$10y = 30$
$y = 3$
So y-intercept is $(0, 3)$

Step3: Match intercepts to graphs

Check which graph crosses $(15, 0)$ and $(0, 3)$. Graph A passes through these points, while Graph B has much larger intercepts.

Answer:

A