# Chapter 1, Equations and Graphs - Section 1.3 - Lines - 1.3 Exercises - Page 113: 67

x-intercept = 2 y-intercept = 5 Refer to the image below for the graph.

#### Work Step by Step

Write the equation in $Ax +By=C$ form. This will make solving for the intercepts a lot easier. The given equation can be rewritten as: $5x+2y-10=0 \\5x+2y-10+10=0+10 \\5x+2y=10$ To find the $x$ intercept, set $y=0$ then solve for $x$ to obtain: $5x+2y=10 \\5x+2(0) = 10 \\5x=10 \\\dfrac{5x}{5}=\dfrac{10}{5} \\x=2$ The x-intercept is $2$. To find the $y$ intercept, set $x=0$ then solve for $y$ to obtain: $5x+2y=10 \\5(0)+2y = 10 \\2y=10 \\\dfrac{2y}{2}=\dfrac{10}{2} \\y=5$ The y-intercept is $5$. To draw the graph of the equation, plot the x-intercept point $(2, 0)$ and the y-intercept point $(0, 5)$ and connect them using a straight line. (refer to the attached image in the answer part above)

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