7. slope \( =-\frac{3}{4} \), goes through the point \( (4,2) \)

To find the equation of a line with a slope of \( -\frac{3}{4} \) that passes through the point \( (4,2) \), you can use the point-slope form of a linear equation, which is \( y - y_1 = m(x - x_1) \). Plugging in the point and the slope, you get \( y - 2 = -\frac{3}{4}(x - 4) \). A little simplification leads to the equation \( y = -\frac{3}{4}x + 5 \). Voila! Now, if you're sketching this line on graph paper or a digital tool, start from the point \( (4,2) \). From there, remember the slope means for every 4 steps you take to the right (positive direction), you move down 3 steps (negative direction). This will help you plot your line accurately!