Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5.

The equation of the line in standard form is 3x - 5y = 26Step-by-step explanation:Let us revise the forms of the linear equationThe slope intercept form is y = mx + b, where m is the slope of the line and b is the y-interceptThe point-slope form is [tex]y-y_{1}=m(x-x_{1})[/tex] , where m is the slope of the line and [tex](x_{1},y_{1})[/tex] is a point on the lineThe standard form is Ax + By = C, where A, B, and C are constantThe general form is Ax + By + C = 0, where A, B, and C are integers∵ The line passes through point (2 , -4)∵ The slope of the line is [tex]\frac{3}{5}[/tex]- Let us using the point-slope form and then change it to the   standard form∵ [tex]x_{1}[/tex] = 2 and [tex]y_{1}[/tex] = -4∵ m = [tex]\frac{3}{5}[/tex]- Substitute these values in the form of the equation below∵ [tex]y-y_{1}=m(x-x_{1})[/tex] ∴ [tex]y-(-4)=\frac{3}{5}(x - 2)[/tex]∴ [tex]y+4=\frac{3}{5}(x - 2)[/tex]Let us change it to standard form- Multiply each side my 5 to cancel the denominator in the    right hand side∴ 5(y) + 5(4) = 3(x - 2)- Simplify the two sides∴ 5y + 20 = 3x - 6- Add 6 to both sides∴ 5y + 26 = 3x- Subtract 5y from both sides∴ 26 = 3x - 5y- Switch the two sides∴ 3x - 5y = 26The equation of the line in standard form is 3x - 5y = 26Learn more:You can learn more about the linear function in brainly.com/question/12363217#LearnwithBrainly