Write the equation in the slope-intercept form and then find the slope m and y-intercept b of the corresponding line.4x + 7y + 4 = 7

Accepted Solution

Answer:[tex]m=-\frac{4}{7}[/tex][tex]b=\frac{3}{7}[/tex]Step-by-step explanation:Slope intercept form of a line is[tex]y=mx+b[/tex]             ... (1)where, m is slope and b is y-intercept.The given equation is[tex]4x+7y+4=7[/tex]We need to find the slope intercept form of given line.Subtract 4 from both sides.[tex]4x+7y=7-4[/tex][tex]4x+7y=3[/tex]Subtract 4x from both sides.[tex]7y=3-4x[/tex]Divide both sides by 7.[tex]y=\frac{3-4x}{7}[/tex][tex]y=\frac{3}{7}-\frac{4}{7}x[/tex]Arrange the terms.[tex]y=-\frac{4}{7}x+\frac{3}{7}[/tex]           .... (2)Form (1) and (2) we get[tex]m=-\frac{4}{7}[/tex][tex]b=\frac{3}{7}[/tex]Therefore, the slope of the line is -4/7 and y-intercept is 3/7.