Final answer:
The equation of the line in slope-intercept form that passes through the point (-4, -9) with a slope of 2 is y = 2x - 1.
Step-by-step explanation:
The student asks for help with finding the equation of a line in slope-intercept form given a point the line passes through, and its slope. Specifically, the line passes through the point (-4, -9) and has a slope of 2. To write the equation of this line in slope-intercept form, we use y = mx + b, where m is the slope and b is the y-intercept. We already know the slope (m) is 2, so we need to find b (the y-intercept) using the given point.
Step 1: Plug in the slope (2) and the coordinates of the given point (-4, -9) into y = mx + b.
Step 2: Solve for b.
-9 = 2(-4) + b
-9 = -8 + b
b = -1
Step 3: Write the final equation of the line with m and b.
y = 2x - 1
Therefore, the equation of the line in slope-intercept form that passes through the point (-4, -9) and has a slope of 2 is y = 2x - 1.