Question

question 1 1 point a line intersects the y - axis of a coordinate plane 6 units above the origin. from left to right, the line rises 5 units and runs 13 units to the right. the pattern repeats indefinitely. what is the equation of the line in slope intercept form? \\( y = \frac{5}{13}x + 6 \\) \\( y = 6x + \frac{13}{5} \\) \\( y = 6x + \frac{5}{13} \\) \\( y = \frac{13}{5}x + 6 \\)

Explanation:

Step1: Identify slope

Slope $m=\frac{\text{rise}}{\text{run}}=\frac{5}{13}$

Step2: Identify y-intercept

y-intercept $b=6$ (6 units above origin)

Step3: Write slope-intercept form

Slope-intercept formula: $y=mx+b$, substitute values: $y=\frac{5}{13}x + 6$

Answer:

A. $y=\frac{5}{13}x + 6$