graph the line.\ny = -\\frac{3}{4}x + 1

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y = mx + b$, where $b$ is the y - intercept. Here $b = 1$, so the line crosses the y - axis at the point $(0,1)$.

Step2: Find the x - intercept

Set $y = 0$: $0=-\frac{3}{4}x + 1$ $\frac{3}{4}x=1$ $x=\frac{4}{3}\approx1.33$, so the line crosses the x - axis at the point $(\frac{4}{3},0)$.

Step3: Plot and draw the line

Plot the points $(0,1)$ and $(\frac{4}{3},0)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points $(0,1)$ and $(\frac{4}{3},0)$ and draw a straight - line through them.