Final answer:
To write the equation of a line in slope-intercept form passing through the point (-8,3), we need to find the values of the slope and the y-intercept. We can use the formula for slope and substitute the coordinates of the point into the equation for the y-intercept to find these values. Once we have the slope and y-intercept, we can write the equation in slope-intercept form.
Step-by-step explanation:
The slope-intercept form of an equation is given by y = mx + b, where m is the slope and b is the y-intercept. To find the equation of a line passing through the point (-8,3), we need to determine the values of m and b.
- Start by using the given point (-8,3) to find the slope. We can use the formula: m = (y2 - y1) / (x2 - x1). Substitute the coordinates of the point into the formula: m = (3 - y1) / (-8 - x1).
- To find the y-intercept, substitute the coordinates of the point (-8,3) into the equation y = mx + b. We know that x = -8, y = 3, and m is the slope we found in step 1. Solve for b: 3 = m(-8) + b.
- Now that we have the slope and the y-intercept, we can write the equation in slope-intercept form. Substitute the values of m and b into the equation y = mx + b: y = m(x) + b. Replace m and b with the values we found in steps 1 and 2 to get the final equation.