[tex]\huge\boxed{y - 7 = -2(x - 4)}[/tex]
[tex]\huge\boxed{y = -2x + 15}[/tex]
Point-Slope Form
Point-slope form is [tex]y - y_1 = m(x - x_1)[/tex], where [tex](x_1, y_1)[/tex] is a point on the line and [tex]m[/tex] is the slope of the line.
Substitute in the values. [tex]\boxed{y - 7 = -2(x - 4)}[/tex]
Slope-Intercept Form
Slope-intercept form is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept of the line.
We need to convert the equation into slope-intercept form.
Distribute the [tex]-2[/tex] to the [tex](x-4)[/tex]. [tex]y - 7 = -2x + 8[/tex]
Add [tex]7[/tex] on both sides. [tex]\boxed{y = -2x + 15}[/tex]
