Question

Write the equation of the line in fully simplified slope-intercept form.

Answer 1

The equation of the line is y=−x+8.

explanation :

To determine the equation of the line in slope-intercept form

y=mx+b, we need to find the slope (m) and the y-intercept (b).

From the graph, we can identify two clear points on the line:

(0, 8) and (8, 0).

using the formula for slope
`m=(y2-y1)/(x2-x1)`

Answer 2

The fully simplified slope-intercept form of the given line, which has a slope of 3 and a y-intercept of 9, is y = 3x + 9.

Step-by-step explanation:

To write the equation of the line in slope-intercept form using the given information from Figure A1 Slope and the Algebra of Straight Lines, we will use the formula y = mx + b, where m represents the slope and b represents the y-intercept. Given that the slope (rise over run) is 3 and the y-intercept is 9, we can substitute these values into the formula to get the equation of the line.

The fully simplified slope-intercept form of the given line is therefore y = 3x + 9.