Question

Type your answer as a point: if there are infinitely many solutions type your answer in the form: where and are numbers (slope and intercept). if there is no solution type: none

Answer 1

The algebra of straight lines can be represented by the slope-intercept form equation y = mx + b. The given line has a slope (m) of 3 and a y-intercept (b) of 9, making the equation y = 3x + 9.

Step-by-step explanation:

The question pertains to the algebra of straight lines, specifically the equation of a line in slope-intercept form, given as y = mx + b, where m is the slope and b is the y-intercept. If a line has a slope of 3 (rise over run of 3:1) and intersects the y-axis at 9, the equation of the line can be written as y = 3x + 9.

Here, '3' represents the slope, which indicates the steepness of the line, and '9' represents the y-intercept, which is the point at which the line crosses the y-axis.