We can use the point-slope formula to write an equation for this line. The point-slope formula states: (y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))
Where color(blue)(m) is the slope and color(red)(((x_1, y_1))) is a point the line passes through.
We can substitute the slope and values from the point to give:
(y - color(red)(1)) = color(blue)(8)(x - color(red)(7))
We can also transform this equation to the slope-intercept form by solving for y. The slope-intercept form of a linear equation is: y = color(red)(m)x + color(blue)(b)
Where color(red)(m) is the slope and color(blue)(b) is the y-intercept value.
y - color(red)(1) = (color(blue)(8) xx x) - (color(blue)(8) xx color(red)(7))
y - color(red)(1) = 8x - 56
y - color(red)(1) + 1 = 8x - 56 + 1
y - 0 = 8x - 55
y = color(red)(8)x - color(blue)(55)
