# Math Question: 4x - 3y = -10

by Jan
(Prescott, AZ)

Linear Equation

• The Standard form of a Linear Equation is shown below:

4x - 3y = -10

Graph the equation

Rewrite the equation in:

Slope–intercept form

Point–slope form

Two-point form

Intercept form

### Comments for Math Question: 4x - 3y = -10

 Sep 29, 2012 4x - 3y = -10 by: Staff Answer: Part I Graph the equation: Standard form:       Ax + By = C            A = 4            B = -3            C = -10       4x - 3y = -10 Slope–intercept form:       y = mx + b            4x - 3y = -10            4x - 3y + 3y = -10 + 3y            4x + 0 = 3y - 10            4x = 3y - 10            4x + 10 = 3y + 10 + 10            4x + 10 = 3y + 0            4x + 10 = 3y            3y = 4x + 10            3y / 3 = (4x + 10) / 3            y * (3/ 3) = (4x + 10) / 3            y * (1) = (4x + 10) / 3            y = (4x + 10) / 3            y = 4x * (1/3) + 10* (1/3)            y = (4/3)*x + 10/3            m = 4/3            b = 10/3       y = (4/3)*x + 10/3 ----------------------------------------

 Sep 29, 2012 4x - 3y = -10 by: Staff ---------------------------------------- Part II Point–slope form:       y - y₁ = m(x - x₁)            y = (4/3)*x + 10/3            y₁ = (4/3)*x₁ + 10/3            y - y₁ = [(4/3)*x + 10/3] - [(4/3)*x₁ + 10/3]            y - y₁ = (4/3)*x + 10/3 -(4/3)*x₁ - 10/3            y - y₁ = (4/3)*x - (4/3)*x₁+ 10/3 - 10/3            y - y₁ = (4/3)*x - (4/3)*x₁+ 0            y - y₁ = (4/3)*x - (4/3)*x₁            y - y₁ = (4/3)*(x - x₁)       y - y₁ = (4/3)*(x - x₁) Two-point form:       y - y₁ = [(y₂ - y₁)/(x₂ - x₁)] * (x - x₁)            (x1, y1) and (x2, y2) are different two points on the graph of the equation 4x - 3y = -10            [(y₂ - y₁)/(x₂ - x₁)] is the slope “m”, by definition.       y - y₁ = [(y₂ - y₁)/(x₂ - x₁)] * (x - x₁) Intercept form:       x/a + y/b = 1           4x - 3y = -10           (4x - 3y) / (-10) = (-10) / (-10)           (4x - 3y) / (-10) = 1           (4x) / (-10) + (-3y) / (-10) = 1           (x) / (-10/4) + (y) / (10/3) = 1           a = -10/4           b = 10/3       x/(-10/4) + y/(10/3) = 1 Thanks for writing. Staff www.solving-math-problems.com

 Jan 02, 2020 Math NEW by: Anonymous Help