write an equation in slope intercept (4,7) and has a slope of 5/4

Answer 1

Hello Mariah;

We can use the formula ==> y - y₁ = m(x - x₁)

Given point: (4, 7)

Slope: 5/4

Substituting the values into the formula:

y - 7 = (5/4)(x - 4)

Expanding the right side:

y - 7 = (5/4)x - (5/4)(4)

y - 7 = (5/4)x - 5

Now, we can rearrange the equation to the slope-intercept form (y = mx + b), where b represents the y-intercept:

y = (5/4)x - 5 + 7

y = (5/4)x + 2

Therefore, the equation of the line with a slope of 5/4 and passing through the point (4, 7) is:

y = (5/4)x + 2