·         Given: (-2,-1); (3,4).

·         The line passesthrough (X₁,Y₁) = (-2,-1) and (X₂,Y₂) = (3,4).

·         Slope Equals: m = Y₂-Y₁/ X₂-X₁ = 4-(-1)/3-(-2).

·         Slope = 5/5 or 1.

·         Because you know the slope and a point on a line, use the point-slope form to find an equation of the line.

·         Y-Y1 = m (X-X1) ..................................................Use point-slope form.

·         Y-(-1) = 1[X-(-2)] .................................................Substitute for m, X1, and Y1.

·         Y + 1 = X + 2 ........................................................Simplify.

·         Y = X + 1 ...............................................................Write in slope-intercept form.

Step 1: Solve one of the equations for one of its variables.

Step 2: Substitute the expression from Step 1 into the other equation and solve for the other variable.

Step 3: Substitute the value from Step 2 into the revised equation from Step 1 and solve.

Solve the linear system using the substitution method.

Revise Equation 2.

Plug x into first equation to solve for y.

Solve for y.

Substitute 5 for y.

Simplify.

Check the solution by substituting back into the original equations.

3x + 4y = -4

x + 2y = 2________________

x = -2y + 2_______________

3(-2y + 2) + 4y = -4________

y = 5____________________

x = -2(5) + 2______________

x = -8___________________

3x + 4y = -4

3(-8) + 4(5) = -4

-4 = -4__________________

x + 2y = 2

-8 + 2(5) = 2

2 = 2____________________