To write the equation of a line in slope-intercept form, we use the slope and a point through which the line passes. Given a slope of 2 and point (-6, 4), we substitute these into the equation, which gives us y = 2x + 16.
To write an equation of a line, we generally use the slope-intercept form, which is given by y = mx + b where 'm' is the slope and 'b' is y intercept. Since we know the slope is 2, the equation becomes y = 2x + b.
Since the line passes through the point (-6, 4), we can put this into our equation to find the value of 'b'. The x-coordinate is -6 and the y-coordinate is 4.
Plugging these values into our equation gives: 4 = 2*(-6) + b => 4 = -12 + b. Solving for 'b' gives us: b = 4 + 12 = 16.
Therefore, the equation of the line in slope-intercept form is y = 2x + 16.
Learn more about Slope-Intercept Form