Q:

Identify the slope and Y intercept of each linear functions equations

Accepted Solution

A:
The slope and Y-intercept of each linear function's equation are as shown in the explanation below.[tex]\texttt{ }[/tex]Further explanationSolving linear equation mean calculating the unknown variable from the equation.[tex]\texttt{ }[/tex]Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( xβ‚‚ , yβ‚‚ ) with the formula :[tex]\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}}[/tex][tex]\texttt{ }[/tex]If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :[tex]\large {\boxed{y - y_1 = m ( x - x_1 )}}[/tex]Let us tackle the problem.[tex]\texttt{ }[/tex]This problem is about Slope and Y-Intercepts of Linear FunctionsLet the linear equation : y = mx + cIf we draw the above equation on Cartesian Coordinates , it will be a straight line with :m β†’ gradient of the line( 0 , c ) β†’ y - intercept[tex]\texttt{ }[/tex]Option A[tex]y = 1 - 3x[/tex][tex]y = -3x + 1[/tex]slope = - 3Y-Intercept at 1[tex]\texttt{ }[/tex]Option B[tex]x - 3 = y[/tex][tex]y = 1x - 3[/tex]slope = 1Y-Intercept at -3[tex]\texttt{ }[/tex]Option C[tex]y = 3x - 1[/tex]slope = 3Y-Intercept at -1[tex]\texttt{ }[/tex]Option D[tex]-x + 3 = y[/tex][tex]y = -1x + 3[/tex]slope = -1Y-Intercept at 3[tex]\texttt{ }[/tex]Learn moreInfinite Number of Solutions : of Equations : of Linear equations : detailsGrade: High SchoolSubject: MathematicsChapter: Linear EquationsKeywords: Linear , Equations , 1 , Variable , Line , Gradient , Point#LearnWithBrainly