# The function f(x) is linear. Write a formula for f(x) that satisfies the conditions: slope = -3/4, y-intercept = 1/3

Question
Analyzing functions
The function f(x) is linear. Write a formula for f(x) that satisfies the conditions: slope $$\displaystyle=-\frac{{3}}{{4}}$$, y-intercept $$\displaystyle=\frac{{1}}{{3}}$$

2021-01-16
Slope $$\displaystyle{\left({m}\right)}=-\frac{{3}}{{4}}$$
(b) y-intercept $$\displaystyle=\frac{{1}}{{3}}$$
$$\displaystyle{f{{\left({x}\right)}}}={m}{x}+{b}=-\frac{{{3}{x}}}{{4}}+\frac{{1}}{{3}}$$
$$\displaystyle{f{{\left({x}\right)}}}=\frac{{-{3}{x}}}{{4}}+\frac{{1}}{{3}}$$

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