Final answer:
To write the equation of a line in slope-intercept form, we use the point-slope form and substitute the given slope and coordinates. The equation of the line is y = 2x + 11.
Step-by-step explanation:
To write the equation of a line in slope-intercept form (y = mx + b), we need to know the slope (m) and the y-intercept (b). In this case, we are given that the slope is 2 and the line passes through the point (-3, 5). We can use the point-slope form of a linear equation to find the equation of the line.
Step 1: Use the point-slope form: y - y1 = m(x - x1)
Step 2: Substitute the values of the slope (m), the coordinates of the point (-3, 5) (x1, y1), into the equation.
Step 3: Simplify the equation to slope-intercept form (y = mx + b) by solving for y.
Therefore, the equation of the line that passes through the point (-3, 5) and has a slope of 2 is y = 2x + 11.