Question

For the equation 6x + 5y = 30,

(a) write it in slope-intercept form,
(b) give the slope of the line,
(c) give the y-intercept, and (d) graph the line

Answer 1

To write the equation 6x + 5y = 30 in slope-intercept form, subtract 6x from both sides and divide by 5 to solve for y. The slope of the line is -6/5 and the y-intercept is 6. To graph the line, plot the y-intercept and use the slope to find more points.

Step-by-step explanation:

To write the equation 6x + 5y = 30 in slope-intercept form, we need to isolate y on one side of the equation. Begin by subtracting 6x from both sides:

5y = -6x + 30

Next, divide both sides by 5 to solve for y:

y = -6/5x + 6

The slope of the line is -6/5 and the y-intercept is 6.

To graph the line, plot the y-intercept at the point (0, 6) and use the slope to find more points on the line. For example, from the y-intercept, move 5 units down and 6 units to the right to find another point. Connect these points to complete the graph.