Answer: y = 6x + 246
Explanation:
Slope-intercept form is given as y = mx + b where m is the slope and b is the y-intercept. Here, we are given a slope and a coordinate point on the graph.
We will write a point-slope form equation and then isolate y to create a slope-intercept form equation. Point-slope form is y - y1 = m(x - x1) where m is the slope and (x1, y1) is a coordinate point on the graph.
Given:
y - y1 = m(x - x1)
Substitute:
y - - 6 = 6(x - - 42)
Subtract:
y + 6 = 6(x + 42)
Distribute:
y + 6 = 6x + 252
Subtract 6 from both sides of the equation:
y = 6x + 246