Question

Write an equation in slope-intercept form with a slope of$\frac{9}{10}$ and y-intercept of 3.

$$\begin{gathered} \mathit{F}\mathit{y}\mathbf{=}\mathbf{3}\mathit{x}\mathbf{+}\frac{9}{10} \\ \mathit{G}\mathit{y}\mathbf{=}\frac{9}{10}x+\mathbf{3} \\ \mathbf{H}\mathbf{y}\mathbf{=}\frac{9}{10}\mathbf{x}\mathbf{-}\mathbf{3} \\ \mathbf{J}\mathbf{y}\mathbf{=}\mathbf{3}\mathbf{x}\mathbf{-}\frac{9}{10} \end{gathered}$$

Short answer

$y=\frac{9}{10}x+\mathbf{3}$

Step-by-step solution

Step 1. Write the equation for slope-intercept form.

The equation of slope intercept-form is given by $y=mx+c$, where, m is the slope and c is y y-intercept.

Step 2. Substitute.

Substitute $\frac{9}{10}$ for m and 3 for c in the above-mentioned equation.

$y=\frac{9}{10}x+3$

Step 3. Write a conclusion.

The equation in slope-intercept form is$y=\frac{9}{10}x+3$ which completely matches with option G. Therefore, option G is the required answer.