Question

Identify both the slope-intercept and point-slope form equations that best represent the following:

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A. Slope-intercept: y = mx + b; Point-slope: y - y1 = m(x - x1)
B. Slope-intercept: y = b + mx; Point-slope: y - y1 = m(x - x1)
C. Slope-intercept: x = my + b; Point-slope: (x - x1) = m(y - y1)
D. Slope-intercept: y = mx - b; Point-slope: (y - y1) = m(x - x1)

Answer 1

The slope-intercept form is y = mx + b and the point-slope form is y - y1 = m(x - x1).

Step-by-step explanation:

The correct answer is Option A: Slope-intercept: y = mx + b; Point-slope: y - y1 = m(x - x1).

In the slope-intercept form, y = mx + b, 'm' represents the slope, which is the change in y divided by the change in x, and 'b' represents the y-intercept, which is the y-coordinate of the point where the line crosses the y-axis.

In the point-slope form, y - y1 = m(x - x1), 'm' represents the slope, and (x1, y1) represents a point on the line. This form is useful when you know a point on the line and its slope.