Question

Hat is the equation of the line in standard form that passes through the point (1, 24) and has a slope of -0.6?

A.) 3x + 5y = 125


B.) 3x + 5y = 77


C.) x + 5y = 123


D.) 3x + 5y = 115

Answer 1

`\text{The standard form:}\\\\Ax+By=C.\\\\\text{The point-slope form:}\\\\y-y_1=m(x-x_1)\\\\\text{We have the point (1, 24) and the slope m = -0.6. Substitute:}\\\\y-24=-0.6(x-1)\qquad\text{multiply both sides by 5}\\\\5y-120=-3(x-1)\qquad\text{use distributive property}\\\\5y-120=-3x+3\qquad\text{add 120 to both sides}\\\\5y=-3x+123\qquad\text{add 3x to both sides}\\\\3x+5y=123\\\\Answer:\ \boxed{3x+5y=123}`