Determine an equation of the line that satisfies the condition "through (−1,6); slope −56".
(a) Write the equation in standard form.
Use the Point Slope Form of the equation of a line with (x1,y1)=(−1,6) and m=−56
y−y1=m(x−x1)Point Slope Formy−6=−56[x−(−1)]Substitute x=−1,y=6 and m=−56y−6=−56x−56Distributive Property6y−36=−5x−5Multiply each side by 65x+6y=−5+36Add each side by (5x+36)5x+6y=31Standard Form
(b) Write the equation in slope-intercept form.
5x+6y=31Standard Form6y=−5x+31Subtract each side by 5xy=−56x+316Slope Intercept Form
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