Question

a. rewrite the equation $5x + y - 4 = 0$ in slope - intercept form.
b. give the slope and y - intercept.
c. use the slope and y - intercept to graph the linear function

a. the slope - intercept form of the equation is \\(\square\\)
(simplify your answer. use integers or fractions for any numbers in the equation.)

Explanation:

Step1: Isolate the y-term

$5x + y - 4 = 0 \implies y = -5x + 4$

Step2: Identify slope and intercept

Slope $m = -5$, y-intercept $b = 4$

Step3: Graphing guidelines

1. Plot y-intercept $(0, 4)$.
2. Use slope: from $(0,4)$, move 1 right, 5 down to $(1, -1)$, plot the point.
3. Draw a line through the two points.

Answer:

a. $y = -5x + 4$
b. Slope: $-5$, y-intercept: $4$
c. (Graph instructions: Plot the point $(0, 4)$, then use the slope to plot a second point $(1, -1)$, and draw a straight line through both points.)