Question

Write the slope-intercept form of the equation of the line passing through (4,0) with slope 7 .

Answer 1

y = 7x - 28

Explanation:

Hi! Our task is to find the slope-intercept equation of the line, given that it:

• passes through (4,0)
• has a slope of 7

We'll use our point-slope formula:

`\bullet\qquad\bf{y-y_1=m(x-x_1)}`

Substitute the data. 7 is the slope, so, we substitute 7 for m:

`\bullet\qquad\bf{y-y_1=7(x-x_1)}`

Then, substitute 0 for y_1 :

`\bullet\qquad\bf{y-0=7(x-x_1)}`

Lastly, substitute 4 for x_1 :

`\bullet\qquad\bf{y-0=7(x-4)}`

Now, simplify.

`\bullet\qquad\bf{y=7(x-4)}`

`\bullet\qquad\bf{y=7x-28}`

Therefore, the equation is y = 7x - 28.