Question

Write a linear equation in standard form that satisfies the given set of conditions. X-intercept: 3, y-intercept: 5

Answer 1

The linear equation in standard form is $y=\frac{-5}{3}x +5$.

Linear Function

An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for  $\frac{\Delta x }{\Delta y}$.

b= the constant term that represents the y-intercept.

The question gives: X-intercept:3  and  y-intercept: 5. Then,

• The x-intercept is the point that y=0, then the x-intercept point is (3,0).
• The y-intercept is the point that x=0, then the x-intercept point is (0,5).

With this information, you can find the slope (a).

$a=\frac{\Delta y }{\Delta x}= \frac{0-5}{3-0} =\frac{-5}{3}$

The question gives the coefficient b since it gives the y-intercept=5.

Therefore the linear equation is : $y=\frac{-5}{3}x +5$.

Read more about the linear equations here:

brainly.com/question/2030026

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