Question

Quick algebra 1 question for 10 points!


Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!

Answer 1

Answer:

B) x-intercept: (6, 0)

   y-intercept: (0, 7)

Step-by-step explanation:

Given equation: $7x + 6y = 42$

What are the x- and y-intercepts?

The x-intercept is the point where the line intersects the x-axis. In short, it is when y = 0 — $(x, y) \Rightarrow (x, 0)$. The y-intercept is where the line intersects the y-axis, which is when x = 0 — $(x, y) \Rightarrow (0, y)$.

Find the x-intercept (by substituting 0 for y):

$\\\implies 7x + 6y = 42\\\\\implies 7x + 6(0) = 42\\\\\implies 7x = 42\\\\\implies \dfrac{7x}{7}=\dfrac{42}{7}\\\\\implies \boxed{x=6}$

Coordinate: $(6, 0)$

Find the y-intercept (by substituting 0 for x):

$\\\implies 7x + 6y = 42\\\\\implies 7(0) + 6y = 42\\\\\implies 6y = 42\\\\\implies \dfrac{6y}{6}=\dfrac{42}{6}\\\\\implies \boxed{y=7}$

Coordinate: $(0, 7)$