Question

Write the slope intercept form of the equation of the line that passes
through the point (-4,-4) and has a slope of 7/4.

Answer 1

Answer:

$y=\frac{7}{4}x+3$

Step-by-step explanation:

Slope-intercept form:

$y=mx+b$

There are 4 variables here:

• x, y = any point on the line
• m = slope of the line
• b = y intercept of the line

And in your question, 3 of the variables are already given:

• x = -4
• y = -4
• m = 7/4
• b = ?

Just plug in all the known variables and solve for b:

$y=mx+b\\-4=\frac{7}{4}(-4)+b\\-4=-7+b\\b=3$

Now, with both the slope and the y-intercept, you can write the equation:

$y=\frac{7}{4}x+3$