Final answer:
The equation in slope-intercept form is y = 2x + 2.
Step-by-step explanation:
The equation in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 2. Using the point-slope form, we can substitute the values of the slope and the coordinates of the given point into the equation.
The equation becomes y - y1 = m(x - x1), where (x1, y1) are the coordinates of the given point (-3, -4).
Substituting the values, the equation becomes y - (-4) = 2(x - (-3)).
Simplifying further gives us y + 4 = 2(x + 3). To write it in slope-intercept form, we can expand and simplify, resulting in y = 2x + 6 - 4. Finally, y = 2x + 2 is the equation in slope-intercept form that passes through the point (-3, -4).
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