An equation in standard form that passes through (-5,5) and (3,20) is:
<h2>- 15x + 8y = 115</h2>
<h3>Further explanation</h3>
Solving linear equation mean calculating the unknown variable from the equation.
Let the linear equation : y = mx + c
If we draw the above equation on Cartesian Coordinates , it will be a straight line with :
<em>m → gradient of the line</em>
<em>( 0 , c ) → y - intercept</em>
Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :
If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :
Let us tackle the problem.
This probem is about Linear Equation.
<em>Let:</em>
<em>( -5 , 5 ) → ( x₁ , y₁ )</em>
<em>( 3, 20 ) → ( x₂ , y₂ )</em>
<em>We will use the formula as follows:</em>
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Linear Equations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point