To find the slope of the line, we will use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
Substitute the coordinates (1,3) and (0, -2) into the formula:
slope = (-2 - 3) / (0 - 1)
slope = -5 / -1
slope = 5
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Choose one of the points (1,3) to substitute as (x1, y1):
y - 3 = 5(x - 1)
Now, simplify the equation:
y - 3 = 5x - 5
To write the equation in slope-intercept form (y = mx + b), isolate y:
y = 5x - 5 + 3
y = 5x - 2
Therefore, the equation of the line in slope-intercept form is y = 5x - 2.
Use the graph to derive the equation of the line in slope-intercept form.
(1 point)
coordinates on graph: (1,3) (0, -2)
1 answer
1 answer