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lesson 4: rsg set find the x-intercept and the y-intercept and then gra…

Question

lesson 4: rsg
set
find the x-intercept and the y-intercept and then gra

  1. $5x - 2y = 10$

x-intercept:
y-intercept:

Explanation:

Step1: Find x-intercept (set y=0)

Substitute $y=0$ into $5x - 2y = 10$:
$$5x - 2(0) = 10$$
$$5x = 10$$
$$x = \frac{10}{5} = 2$$

Step2: Find y-intercept (set x=0)

Substitute $x=0$ into $5x - 2y = 10$:
$$5(0) - 2y = 10$$
$$-2y = 10$$
$$y = \frac{10}{-2} = -5$$

Answer:

x-intercept: $(2, 0)$
y-intercept: $(0, -5)$

(To graph: Plot the two intercept points and draw a straight line connecting them across the coordinate grid.)