Question

Write an equation of the line through the given point with the given slope. Write the equation in​ slope-intercept form.
​(3​, 5​); m​ = -4

Answer 1

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Given that the point is (3, 5) and the slope is -4, we can substitute these values into the slope-intercept form to find the equation.

y = mx + b
5 = -4(3) + b
5 = -12 + b

Now, we can solve for b.

5 + 12 = b
17 = b

So, the equation of the line is y = -4x + 17.