Question

Maria wrote the equation of a line that has a slope of Four-thirds and passes through point (3, 5). Which statement is true?

The y-intercept is 4.

The slope-intercept equation is y = four-thirds x + 1.

The point-slope equation is y minus 3 = four-thirds (x minus 5).

The line also passes through the point (0, –2).

Answer 1

B) Y=4/3X+1

Explanation:

Y-Y1=M(X-X1)

Y-5=4/3(X-3)

Y-5+5=4/3(X-3)+5

Y=4/3X-4+5

Y=4/3X+1

Hope this helps <3

Answer 2

To find the equation of a line with a slope of Four-thirds that passes through point (3, 5), we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point.

Plugging in the values, we get:

y - 5 = Four-thirds(x - 3)

Simplifying, we can write:

y - 5 = Four-thirds x - 4

Adding 5 to both sides, we get:

y = Four-thirds x + 1

Therefore, the statement that is true is:

The slope-intercept equation is y = four-thirds x + 1.