Answer:
y=-2/9x + 2 2/3
Step-by-step explanation:
kay, first you wanna write out your slope-intercept formula for reference (that's gonna be y = mx +b, m being your slope and b your y inetrcept). Knowing that, you wanna find the informations needed for the equation next. The question tells us that line h is parallel to line g, and remembering that parallel lines always have the same slope, we can already write down that m=-2/9. Next you wanna find the y inetrcept, which is a little trickier, but pretty straightforward none the less. We are given a point through which line h passes, which is (3,2), which gives you the value of y (2) and value of x (3) of said point. Now if we bring back the slope-intercept formula, you can see that both y and x values are in there, and if we plug in the values given from the point into the formula, using basic algebra you can solve for b since it's the only variable left in the equation. Putting that into practice, basically now you're left with 2 = -2/9 * 3 + b. Once you've simplified the equation by multiplying -2/9 by 3, now left with 2 = -2/3 + b, all you have to do is solve for b, which comes down to 2 2/3. Plugging all the info into the formula, you're ultimately left with y=-2/9x + 2 2/3. Hope that helped a little, lemme know if you have any further questions :)).
