Final answer:
To write the equation of a line in slope-intercept form, we need to find the slope and the y-intercept. The slope can be calculated using the formula slope = (y2 - y1) / (x2 - x1). Let's substitute the coordinates of the given points into the formula: slope = (4 - 6) / (1 - 0) = -2 / 1 = -2. Now, let's use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. We have m = -2. To find the y-intercept, we can substitute one of the points into the equation: 6 = -2(0) + b. Solving for b, we get b = 6. Therefore, the equation of the line in slope-intercept form is y = -2x + 6.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, we need to find the slope and the y-intercept. The slope can be calculated using the formula: slope = (y2 - y1) / (x2 - x1). Let's substitute the coordinates of the given points into the formula:
slope = (4 - 6) / (1 - 0) = -2 / 1 = -2.
Now, let's use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. We have m = -2.
To find the y-intercept, we can substitute one of the points into the equation: 6 = -2(0) + b. Solving for b, we get b = 6.
Therefore, the equation of the line in slope-intercept form is y = -2x + 6.