How do you find the slope and y-intercept for the line y = -7/4 x +2?

3 Answers
Sep 28, 2015

Slope: -7/4
y-intercept: 2

Explanation:

Any linear equation in the form
color(white)("XXX")y = mx+b
is in a form called the "slope-intercept form"
with a slope of m
and a y-intercept of b

y=-7/4x+2 is in this form
with m= -7/4
and a y-intercept =2

Sep 28, 2015

You do it like this:

Explanation:

A straight line is of the form:

y=mx+c

m is the gradient

c is the intercept i.e the point at x=0 where the line cuts the y axis.

So for the line:

y=-7/4x+2

The slope m=-7/2 and the intercept c=2 graph{y=-7/2x+2 [-10, 10, -5, 5]}

Sep 28, 2015

Slope=-7/4

y-intercept=2

Explanation:

The coefficient of x (that is, the number being multiplied by x) is the slope. Therefore, the slope= -7/4

The y-intercept is the constant in the equation (that is, it is the number that is not being multiplied by any variable, such as x or y). Therefore, the y-intercept= 2

The equation of a line can generally be written as y=mx+c, where m is the slope and c is the y-intercept.